diff --git a/.github/pytorch-release-versions/pytorch-latest.txt b/.github/pytorch-release-versions/pytorch-latest.txt
index feaae22bac..b50dd27dd9 100644
--- a/.github/pytorch-release-versions/pytorch-latest.txt
+++ b/.github/pytorch-release-versions/pytorch-latest.txt
@@ -1 +1 @@
-1.13.0
+1.13.1
diff --git a/.github/release-drafter.yml b/.github/release-drafter.yml
index c1abd3124d..7fef410249 100644
--- a/.github/release-drafter.yml
+++ b/.github/release-drafter.yml
@@ -34,7 +34,7 @@ categories:
     label: 'chore'
   - title: '🧪 Testing'
     label: 'testing'
-  
+
 change-template: '- #$NUMBER $TITLE (by @$AUTHOR)'
 categorie-template: '### $TITLE'
 exclude-labels:
diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 822a501a9a..9be27312dd 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -1,5 +1,5 @@
 test:
-  image: nvidia/cuda:11.6.2-runtime-ubuntu20.04
+  image: nvidia/cuda:11.7.1-runtime-ubuntu22.04
   tags:
     - cuda
     - x86_64
@@ -9,7 +9,7 @@ test:
     - DEBIAN_FRONTEND=noninteractive apt -y install libopenmpi-dev openmpi-bin openmpi-doc
     - apt -y install libhdf5-openmpi-dev libpnetcdf-dev
     - pip install pytest coverage
-    - pip3 install torch torchvision torchaudio --extra-index-url https://download.pytorch.org/whl/cu116
+    - pip3 install torch torchvision torchaudio
     - pip install .[hdf5,netcdf]
     - COVERAGE_FILE=report/cov/coverage1 HEAT_TEST_USE_DEVICE=cpu mpirun --allow-run-as-root -n 1 coverage run --source=heat --parallel-mode -m pytest --junitxml=report/test/report1.xml heat/
     - COVERAGE_FILE=report/cov/coverage2 HEAT_TEST_USE_DEVICE=gpu mpirun --allow-run-as-root -n 3 coverage run --source=heat --parallel-mode -m pytest --junitxml=report/test/report3.xml heat/
diff --git a/heat/core/communication.py b/heat/core/communication.py
index ad58dae964..9aa71323da 100644
--- a/heat/core/communication.py
+++ b/heat/core/communication.py
@@ -240,7 +240,11 @@ def counts_displs_shape(
 
     @classmethod
     def mpi_type_and_elements_of(
-        cls, obj: Union[DNDarray, torch.Tensor], counts: Tuple[int], displs: Tuple[int]
+        cls,
+        obj: Union[DNDarray, torch.Tensor],
+        counts: Tuple[int],
+        displs: Tuple[int],
+        is_contiguous: Optional[bool],
     ) -> Tuple[MPI.Datatype, Tuple[int, ...]]:
         """
         Determines the MPI data type and number of respective elements for the given tensor (:class:`~heat.core.dndarray.DNDarray`
@@ -255,12 +259,18 @@ def mpi_type_and_elements_of(
             Optional counts arguments for variable MPI-calls (e.g. Alltoallv)
         displs : Tuple[ints,...], optional
             Optional displacements arguments for variable MPI-calls (e.g. Alltoallv)
+        is_contiguous: bool
+            Information on global contiguity of the memory-distributed object. If `None`, it will be set to local contiguity via ``torch.Tensor.is_contiguous()``.
         # ToDo: The option to explicitely specify the counts and displacements to be send still needs propper implementation
         """
         mpi_type, elements = cls.__mpi_type_mappings[obj.dtype], torch.numel(obj)
 
-        # simple case, continuous memory can be transmitted as is
-        if obj.is_contiguous():
+        # simple case, contiguous memory can be transmitted as is
+        if is_contiguous is None:
+            # determine local contiguity
+            is_contiguous = obj.is_contiguous()
+
+        if is_contiguous:
             if counts is None:
                 return mpi_type, elements
             else:
@@ -273,7 +283,7 @@ def mpi_type_and_elements_of(
                     ),
                 )
 
-        # non-continuous memory, e.g. after a transpose, has to be packed in derived MPI types
+        # non-contiguous memory, e.g. after a transpose, has to be packed in derived MPI types
         elements = obj.shape[0]
         shape = obj.shape[1:]
         strides = [1] * len(shape)
@@ -305,7 +315,11 @@ def as_mpi_memory(cls, obj) -> MPI.memory:
 
     @classmethod
     def as_buffer(
-        cls, obj: torch.Tensor, counts: Tuple[int] = None, displs: Tuple[int] = None
+        cls,
+        obj: torch.Tensor,
+        counts: Tuple[int] = None,
+        displs: Tuple[int] = None,
+        is_contiguous: Optional[bool] = None,
     ) -> List[Union[MPI.memory, Tuple[int, int], MPI.Datatype]]:
         """
         Converts a passed ``torch.Tensor`` into a memory buffer object with associated number of elements and MPI data type.
@@ -318,14 +332,16 @@ def as_buffer(
             Optional counts arguments for variable MPI-calls (e.g. Alltoallv)
         displs : Tuple[int,...], optional
             Optional displacements arguments for variable MPI-calls (e.g. Alltoallv)
+        is_contiguous: bool, optional
+            Optional information on global contiguity of the memory-distributed object.
         """
         squ = False
         if not obj.is_contiguous() and obj.ndim == 1:
             # this makes the math work below this function.
             obj.unsqueeze_(-1)
             squ = True
-        mpi_type, elements = cls.mpi_type_and_elements_of(obj, counts, displs)
 
+        mpi_type, elements = cls.mpi_type_and_elements_of(obj, counts, displs, is_contiguous)
         mpi_mem = cls.as_mpi_memory(obj)
         if squ:
             # the squeeze happens in the mpi_type_and_elements_of function in the case of a
@@ -1037,7 +1053,6 @@ def __allgather_like(
                         type(sendbuf)
                     )
                 )
-
         # unpack the receive buffer
         if isinstance(recvbuf, tuple):
             recvbuf, recv_counts, recv_displs = recvbuf
@@ -1053,17 +1068,18 @@ def __allgather_like(
 
         # keep a reference to the original buffer object
         original_recvbuf = recvbuf
-
+        sbuf_is_contiguous, rbuf_is_contiguous = None, None
         # permute the send_axis order so that the split send_axis is the first to be transmitted
         if axis != 0:
             send_axis_permutation = list(range(sendbuf.ndimension()))
             send_axis_permutation[0], send_axis_permutation[axis] = axis, 0
             sendbuf = sendbuf.permute(*send_axis_permutation)
+            sbuf_is_contiguous = False
 
-        if axis != 0:
             recv_axis_permutation = list(range(recvbuf.ndimension()))
             recv_axis_permutation[0], recv_axis_permutation[axis] = axis, 0
             recvbuf = recvbuf.permute(*recv_axis_permutation)
+            rbuf_is_contiguous = False
         else:
             recv_axis_permutation = None
 
@@ -1074,20 +1090,18 @@ def __allgather_like(
         if sendbuf is MPI.IN_PLACE or not isinstance(sendbuf, torch.Tensor):
             mpi_sendbuf = sbuf
         else:
-            mpi_sendbuf = self.as_buffer(sbuf, send_counts, send_displs)
+            mpi_sendbuf = self.as_buffer(sbuf, send_counts, send_displs, sbuf_is_contiguous)
             if send_counts is not None:
                 mpi_sendbuf[1] = mpi_sendbuf[1][0][self.rank]
 
         if recvbuf is MPI.IN_PLACE or not isinstance(recvbuf, torch.Tensor):
             mpi_recvbuf = rbuf
         else:
-            mpi_recvbuf = self.as_buffer(rbuf, recv_counts, recv_displs)
+            mpi_recvbuf = self.as_buffer(rbuf, recv_counts, recv_displs, rbuf_is_contiguous)
             if recv_counts is None:
                 mpi_recvbuf[1] //= self.size
-
         # perform the scatter operation
         exit_code = func(mpi_sendbuf, mpi_recvbuf, **kwargs)
-
         return exit_code, sbuf, rbuf, original_recvbuf, recv_axis_permutation
 
     def Allgather(
@@ -1260,7 +1274,7 @@ def __alltoall_like(
         # keep a reference to the original buffer object
         original_recvbuf = recvbuf
 
-        # Simple case, continuous buffers can be transmitted as is
+        # Simple case, contiguous buffers can be transmitted as is
         if send_axis < 2 and recv_axis < 2:
             send_axis_permutation = list(range(recvbuf.ndimension()))
             recv_axis_permutation = list(range(recvbuf.ndimension()))
diff --git a/heat/core/dndarray.py b/heat/core/dndarray.py
index 9ec0ea89e1..6e9d2c56ef 100644
--- a/heat/core/dndarray.py
+++ b/heat/core/dndarray.py
@@ -1268,8 +1268,11 @@ def resplit_(self, axis: int = None):
         axis = sanitize_axis(self.shape, axis)
 
         # early out for unchanged content
+        if self.comm.size == 1:
+            self.__split = axis
         if axis == self.split:
             return self
+
         if axis is None:
             gathered = torch.empty(
                 self.shape, dtype=self.dtype.torch_type(), device=self.device.torch_device
diff --git a/heat/core/linalg/basics.py b/heat/core/linalg/basics.py
index bc5d3e9e65..7a2776386b 100644
--- a/heat/core/linalg/basics.py
+++ b/heat/core/linalg/basics.py
@@ -510,6 +510,13 @@ def matmul(a: DNDarray, b: DNDarray, allow_resplit: bool = False) -> DNDarray:
     if b.dtype != c_type:
         b = c_type(b, device=b.device)
 
+    # early out for single-process setup, torch matmul
+    if a.comm.size == 1:
+        ret = factories.array(torch.matmul(a.larray, b.larray), device=a.device)
+        if gpu_int_flag:
+            ret = og_type(ret, device=a.device)
+        return ret
+
     if a.split is None and b.split is None:  # matmul from torch
         if len(a.gshape) < 2 or len(b.gshape) < 2 or not allow_resplit:
             # if either of A or B is a vector
@@ -517,17 +524,17 @@ def matmul(a: DNDarray, b: DNDarray, allow_resplit: bool = False) -> DNDarray:
             if gpu_int_flag:
                 ret = og_type(ret, device=a.device)
             return ret
-        else:
-            a.resplit_(0)
-            slice_0 = a.comm.chunk(a.shape, a.split)[2][0]
-            hold = a.larray @ b.larray
 
-            c = factories.zeros((a.gshape[-2], b.gshape[1]), dtype=c_type, device=a.device)
-            c.larray[slice_0.start : slice_0.stop, :] += hold
-            c.comm.Allreduce(MPI.IN_PLACE, c, MPI.SUM)
-            if gpu_int_flag:
-                c = og_type(c, device=a.device)
-            return c
+        a.resplit_(0)
+        slice_0 = a.comm.chunk(a.shape, a.split)[2][0]
+        hold = a.larray @ b.larray
+
+        c = factories.zeros((a.gshape[-2], b.gshape[1]), dtype=c_type, device=a.device)
+        c.larray[slice_0.start : slice_0.stop, :] += hold
+        c.comm.Allreduce(MPI.IN_PLACE, c, MPI.SUM)
+        if gpu_int_flag:
+            c = og_type(c, device=a.device)
+        return c
 
     # if they are vectors they need to be expanded to be the proper dimensions
     vector_flag = False  # flag to run squeeze at the end of the function
diff --git a/heat/core/linalg/tests/test_basics.py b/heat/core/linalg/tests/test_basics.py
index a3cb827b84..08e0ac43dd 100644
--- a/heat/core/linalg/tests/test_basics.py
+++ b/heat/core/linalg/tests/test_basics.py
@@ -237,7 +237,6 @@ def test_inv(self):
         self.assertTupleEqual(ainv.shape, a.shape)
         self.assertTrue(ht.allclose(ainv, ares, atol=1e-6))
 
-        # distributed
         a = ht.array([[5.0, -3, 2], [-3, 2, -1], [-3, 2, -2]], split=0)
         ainv = ht.linalg.inv(a)
         self.assertEqual(ainv.split, a.split)
@@ -245,6 +244,7 @@ def test_inv(self):
         self.assertTupleEqual(ainv.shape, a.shape)
         self.assertTrue(ht.allclose(ainv, ares, atol=1e-6))
 
+        ares = ht.array([[2.0, 2, 1], [3, 4, 1], [0, 1, -1]], split=1)
         a = ht.array([[5.0, -3, 2], [-3, 2, -1], [-3, 2, -2]], split=1)
         ainv = ht.linalg.inv(a)
         self.assertEqual(ainv.split, a.split)
@@ -281,7 +281,7 @@ def test_inv(self):
         self.assertTrue(ht.allclose(ainv, ares, atol=1e-6))
 
         # pivoting row change
-        ares = ht.array([[-1, 0, 2], [2, 0, -1], [-6, 3, 0]], dtype=ht.double) / 3.0
+        ares = ht.array([[-1, 0, 2], [2, 0, -1], [-6, 3, 0]], dtype=ht.double, split=0) / 3.0
         a = ht.array([[1, 2, 0], [2, 4, 1], [2, 1, 0]], dtype=ht.double, split=0)
         ainv = ht.linalg.inv(a)
         self.assertEqual(ainv.split, a.split)
@@ -289,6 +289,7 @@ def test_inv(self):
         self.assertTupleEqual(ainv.shape, a.shape)
         self.assertTrue(ht.allclose(ainv, ares, atol=1e-6))
 
+        ares = ht.array([[-1, 0, 2], [2, 0, -1], [-6, 3, 0]], dtype=ht.double, split=1) / 3.0
         a = ht.array([[1, 2, 0], [2, 4, 1], [2, 1, 0]], dtype=ht.double, split=1)
         ainv = ht.linalg.inv(a)
         self.assertEqual(ainv.split, a.split)
@@ -365,9 +366,28 @@ def test_matmul(self):
         self.assertEqual(ret00.shape, (n, k))
         self.assertEqual(ret00.dtype, ht.float)
         self.assertEqual(ret00.split, None)
-        self.assertEqual(a.split, 0)
+        if a.comm.size > 1:
+            self.assertEqual(a.split, 0)
         self.assertEqual(b.split, None)
 
+        # splits 0 None on 1 process
+        if a.comm.size == 1:
+            a = ht.ones((n, m), split=0)
+            b = ht.ones((j, k), split=None)
+            a[0] = ht.arange(1, m + 1)
+            a[:, -1] = ht.arange(1, n + 1)
+            b[0] = ht.arange(1, k + 1)
+            b[:, 0] = ht.arange(1, j + 1)
+            ret00 = ht.matmul(a, b, allow_resplit=True)
+
+            self.assertEqual(ht.all(ret00 == ht.array(a_torch @ b_torch)), 1)
+            self.assertIsInstance(ret00, ht.DNDarray)
+            self.assertEqual(ret00.shape, (n, k))
+            self.assertEqual(ret00.dtype, ht.float)
+            self.assertEqual(ret00.split, None)
+            self.assertEqual(a.split, 0)
+            self.assertEqual(b.split, None)
+
         if a.comm.size > 1:
             # splits 00
             a = ht.ones((n, m), split=0, dtype=ht.float64)
diff --git a/heat/core/logical.py b/heat/core/logical.py
index a6be081ea7..8106a556ee 100644
--- a/heat/core/logical.py
+++ b/heat/core/logical.py
@@ -140,7 +140,19 @@ def allclose(
     t1, t2 = __sanitize_close_input(x, y)
 
     # no sanitation for shapes of x and y needed, torch.allclose raises relevant errors
-    _local_allclose = torch.tensor(torch.allclose(t1.larray, t2.larray, rtol, atol, equal_nan))
+    try:
+        _local_allclose = torch.tensor(torch.allclose(t1.larray, t2.larray, rtol, atol, equal_nan))
+    except RuntimeError:
+        promoted_dtype = torch.promote_types(t1.larray.dtype, t2.larray.dtype)
+        _local_allclose = torch.tensor(
+            torch.allclose(
+                t1.larray.type(promoted_dtype),
+                t2.larray.type(promoted_dtype),
+                rtol,
+                atol,
+                equal_nan,
+            )
+        )
 
     # If x is distributed, then y is also distributed along the same axis
     if t1.comm.is_distributed():
diff --git a/heat/core/manipulations.py b/heat/core/manipulations.py
index 33ebf4d365..7cf02ab016 100644
--- a/heat/core/manipulations.py
+++ b/heat/core/manipulations.py
@@ -3372,6 +3372,9 @@ def resplit(arr: DNDarray, axis: int = None) -> DNDarray:
     # early out for unchanged content
     if axis == arr.split:
         return arr.copy()
+    if not arr.is_distributed():
+        return factories.array(arr.larray, split=axis, device=arr.device, copy=True)
+
     if axis is None:
         # new_arr = arr.copy()
         gathered = torch.empty(
@@ -3381,11 +3384,6 @@ def resplit(arr: DNDarray, axis: int = None) -> DNDarray:
         arr.comm.Allgatherv(arr.larray, (gathered, counts, displs), recv_axis=arr.split)
         new_arr = factories.array(gathered, is_split=axis, device=arr.device, dtype=arr.dtype)
         return new_arr
-    # tensor needs be split/sliced locally
-    if arr.split is None:
-        temp = arr.larray[arr.comm.chunk(arr.shape, axis)[2]]
-        new_arr = factories.array(temp, is_split=axis, device=arr.device, dtype=arr.dtype)
-        return new_arr
 
     arr_tiles = tiling.SplitTiles(arr)
     new_arr = factories.empty(arr.gshape, split=axis, dtype=arr.dtype, device=arr.device)
diff --git a/heat/core/tests/test_dndarray.py b/heat/core/tests/test_dndarray.py
index e42c5a9a14..726a85e77a 100644
--- a/heat/core/tests/test_dndarray.py
+++ b/heat/core/tests/test_dndarray.py
@@ -126,7 +126,6 @@ def test_gethalo(self):
             # test no data on process
             data_np = np.arange(2 * 12).reshape(2, 12)
             data = ht.array(data_np, split=0)
-            print("DEBUGGING: data.lshape_map = ", data.lshape_map)
             data.get_halo(1)
 
             data_with_halos = data.array_with_halos
diff --git a/heat/core/tests/test_logical.py b/heat/core/tests/test_logical.py
index 691df7ec62..c2e3d1a786 100644
--- a/heat/core/tests/test_logical.py
+++ b/heat/core/tests/test_logical.py
@@ -182,6 +182,7 @@ def test_allclose(self):
         c = ht.zeros((4, 6), split=0)
         d = ht.zeros((4, 6), split=1)
         e = ht.zeros((4, 6))
+        f = ht.float64([[2.000005, 2.000005], [2.000005, 2.000005]])
 
         self.assertFalse(ht.allclose(a, b))
         self.assertTrue(ht.allclose(a, b, atol=1e-04))
@@ -189,6 +190,7 @@ def test_allclose(self):
         self.assertTrue(ht.allclose(a, 2))
         self.assertTrue(ht.allclose(a, 2.0))
         self.assertTrue(ht.allclose(2, a))
+        self.assertTrue(ht.allclose(f, a))
         self.assertTrue(ht.allclose(c, d))
         self.assertTrue(ht.allclose(c, e))
         self.assertTrue(e.allclose(c))
diff --git a/heat/core/tests/test_manipulations.py b/heat/core/tests/test_manipulations.py
index 9a41bceab8..4464053fd3 100644
--- a/heat/core/tests/test_manipulations.py
+++ b/heat/core/tests/test_manipulations.py
@@ -2992,6 +2992,16 @@ def test_resplit(self):
             self.assertEqual(data2.lshape, (data.comm.size, 1))
             self.assertEqual(data2.split, 1)
 
+            # resplitting a non-distributed DNDarray with split not None
+            if ht.MPI_WORLD.size == 1:
+                data = ht.zeros(10, 10, split=0)
+                data2 = ht.resplit(data, 1)
+                data3 = ht.resplit(data, None)
+                self.assertTrue((data == data2).all())
+                self.assertTrue((data == data3).all())
+                self.assertEqual(data2.split, 1)
+                self.assertTrue(data3.split is None)
+
             # splitting an unsplit tensor should result in slicing the tensor locally
             shape = (ht.MPI_WORLD.size, ht.MPI_WORLD.size)
             data = ht.zeros(shape)
diff --git a/heat/core/tests/test_suites/basic_test.py b/heat/core/tests/test_suites/basic_test.py
index f094668bc8..39f6a5f063 100644
--- a/heat/core/tests/test_suites/basic_test.py
+++ b/heat/core/tests/test_suites/basic_test.py
@@ -136,8 +136,12 @@ def assert_array_equal(self, heat_array, expected_array):
             "Local shapes do not match. "
             "Got {} expected {}".format(heat_array.lshape, expected_array[slices].shape),
         )
-        local_heat_numpy = heat_array.numpy()
-        self.assertTrue(np.allclose(local_heat_numpy, expected_array))
+        # compare local tensors to corresponding slice of expected_array
+        is_allclose = np.allclose(heat_array.larray.cpu(), expected_array[slices])
+        ht_is_allclose = ht.array(
+            [is_allclose], dtype=ht.bool, is_split=0, device=heat_array.device
+        )
+        self.assertTrue(ht.all(ht_is_allclose))
 
     def assert_func_equal(
         self,
diff --git a/setup.py b/setup.py
index 2210ceaf97..0e8f00b0de 100644
--- a/setup.py
+++ b/setup.py
@@ -33,7 +33,7 @@
     install_requires=[
         "mpi4py>=3.0.0",
         "numpy>=1.13.0",
-        "torch>=1.7.0, <1.13.1",
+        "torch>=1.7.0, <1.13.2",
         "scipy>=0.14.0",
         "pillow>=6.0.0",
         "torchvision>=0.8.0",