Replace relative imports by absolute ones in categories

src/sage/categories/action.pxd

@@ -1,7 +1,7 @@
 from sage.structure.element cimport Element
-from .morphism cimport Morphism
-from .map cimport Map
-from .functor cimport Functor
+from sage.categories.morphism cimport Morphism
+from sage.categories.map cimport Map
+from sage.categories.functor cimport Functor
 
 cdef class Action(Functor):
     cdef readonly G

src/sage/categories/action.pyx

@@ -56,13 +56,13 @@ AUTHOR:
 
 from cpython.tuple cimport PyTuple_GET_ITEM
 
-from .functor cimport Functor
-from .morphism cimport Morphism
-from .map cimport Map
+from sage.categories.functor cimport Functor
+from sage.categories.morphism cimport Morphism
+from sage.categories.map cimport Map
 from sage.structure.element cimport parent
 from sage.structure.parent cimport Parent
 
-from . import homset
+from sage.categories import homset
 from weakref import ref
 
 

src/sage/categories/algebra_ideals.py

@@ -10,10 +10,10 @@
 #                  https://www.gnu.org/licenses/
 # *****************************************************************************
 
-from .algebra_modules import AlgebraModules
-from .algebras import Algebras
-from .rings import Rings
-from .category_types import Category_ideal
+from sage.categories.algebra_modules import AlgebraModules
+from sage.categories.algebras import Algebras
+from sage.categories.category_types import Category_ideal
+from sage.categories.rings import Rings
 
 
 class AlgebraIdeals(Category_ideal):

src/sage/categories/algebra_modules.py

@@ -10,10 +10,11 @@
 #                  http://www.gnu.org/licenses/
 #******************************************************************************
 
-from .category_types import Category_module
-from .commutative_algebras import CommutativeAlgebras
-from .commutative_rings import CommutativeRings
-from .modules import Modules
+from sage.categories.category_types import Category_module
+from sage.categories.commutative_algebras import CommutativeAlgebras
+from sage.categories.commutative_rings import CommutativeRings
+from sage.categories.modules import Modules
+
 
 class AlgebraModules(Category_module):
     """

src/sage/categories/algebras_with_basis.py

@@ -9,13 +9,13 @@
 #                  https://www.gnu.org/licenses/
 #******************************************************************************
 
+from sage.categories.cartesian_product import CartesianProductsCategory
+from sage.categories.category_with_axiom import CategoryWithAxiom_over_base_ring
+from sage.categories.tensor import TensorProductsCategory, tensor
+from sage.categories.unital_algebras import UnitalAlgebras
 from sage.misc.cachefunc import cached_method
 from sage.misc.lazy_attribute import lazy_attribute
 from sage.misc.lazy_import import LazyImport
-from sage.categories.tensor import TensorProductsCategory, tensor
-from sage.categories.cartesian_product import CartesianProductsCategory
-from sage.categories.category_with_axiom import CategoryWithAxiom_over_base_ring
-from .unital_algebras import UnitalAlgebras
 
 
 class AlgebrasWithBasis(CategoryWithAxiom_over_base_ring):

src/sage/categories/all.py

@@ -27,128 +27,128 @@
 from sage.misc.namespace_package import install_doc
 install_doc(__package__, __doc__)
 
-from . import primer
+from sage.categories import primer
 
 from sage.misc.lazy_import import lazy_import
 
-from .all__sagemath_objects import *
+from sage.categories.all__sagemath_objects import *
 
-from .basic import *
+from sage.categories.basic import *
 
-from .chain_complexes import ChainComplexes, HomologyFunctor
+from sage.categories.chain_complexes import ChainComplexes, HomologyFunctor
 
-from .simplicial_complexes import SimplicialComplexes
+from sage.categories.simplicial_complexes import SimplicialComplexes
 
-from .tensor import tensor
-from .signed_tensor import tensor_signed
+from sage.categories.tensor import tensor
+from sage.categories.signed_tensor import tensor_signed
 
-from .g_sets import GSets
-from .pointed_sets import PointedSets
+from sage.categories.g_sets import GSets
+from sage.categories.pointed_sets import PointedSets
 
-from .sets_with_grading import SetsWithGrading
+from sage.categories.sets_with_grading import SetsWithGrading
 
-from .groupoid import Groupoid
-from .permutation_groups import PermutationGroups
+from sage.categories.groupoid import Groupoid
+from sage.categories.permutation_groups import PermutationGroups
 
 # enumerated sets
-from .finite_sets import FiniteSets
-from .enumerated_sets import EnumeratedSets
-from .finite_enumerated_sets import FiniteEnumeratedSets
-from .infinite_enumerated_sets import InfiniteEnumeratedSets
+from sage.categories.finite_sets import FiniteSets
+from sage.categories.enumerated_sets import EnumeratedSets
+from sage.categories.finite_enumerated_sets import FiniteEnumeratedSets
+from sage.categories.infinite_enumerated_sets import InfiniteEnumeratedSets
 
 # posets
-from .posets import Posets
-from .finite_posets import FinitePosets
-from .lattice_posets import LatticePosets
-from .finite_lattice_posets import FiniteLatticePosets
+from sage.categories.posets import Posets
+from sage.categories.finite_posets import FinitePosets
+from sage.categories.lattice_posets import LatticePosets
+from sage.categories.finite_lattice_posets import FiniteLatticePosets
 
 # finite groups/...
-from .finite_semigroups import FiniteSemigroups
-from .finite_monoids import FiniteMonoids
-from .finite_groups import FiniteGroups
-from .finite_permutation_groups import FinitePermutationGroups
+from sage.categories.finite_semigroups import FiniteSemigroups
+from sage.categories.finite_monoids import FiniteMonoids
+from sage.categories.finite_groups import FiniteGroups
+from sage.categories.finite_permutation_groups import FinitePermutationGroups
 
 # fields
-from .number_fields import NumberFields
-from .function_fields import FunctionFields
+from sage.categories.number_fields import NumberFields
+from sage.categories.function_fields import FunctionFields
 
 # modules
-from .left_modules import LeftModules
-from .right_modules import RightModules
-from .bimodules import Bimodules
+from sage.categories.left_modules import LeftModules
+from sage.categories.right_modules import RightModules
+from sage.categories.bimodules import Bimodules
 
-from .modules import Modules
+from sage.categories.modules import Modules
 RingModules = Modules
-from .vector_spaces import VectorSpaces
+from sage.categories.vector_spaces import VectorSpaces
 
 # (hopf) algebra structures
-from .algebras import Algebras
-from .commutative_algebras import CommutativeAlgebras
-from .coalgebras import Coalgebras
-from .bialgebras import Bialgebras
-from .hopf_algebras import HopfAlgebras
-from .lie_algebras import LieAlgebras
+from sage.categories.algebras import Algebras
+from sage.categories.commutative_algebras import CommutativeAlgebras
+from sage.categories.coalgebras import Coalgebras
+from sage.categories.bialgebras import Bialgebras
+from sage.categories.hopf_algebras import HopfAlgebras
+from sage.categories.lie_algebras import LieAlgebras
 
 # specific algebras
-from .monoid_algebras import MonoidAlgebras
-from .group_algebras import GroupAlgebras
-from .matrix_algebras import MatrixAlgebras
+from sage.categories.monoid_algebras import MonoidAlgebras
+from sage.categories.group_algebras import GroupAlgebras
+from sage.categories.matrix_algebras import MatrixAlgebras
 
 # ideals
-from .ring_ideals import RingIdeals
+from sage.categories.ring_ideals import RingIdeals
 Ideals = RingIdeals
-from .commutative_ring_ideals import CommutativeRingIdeals
-from .algebra_modules import AlgebraModules
-from .algebra_ideals import AlgebraIdeals
-from .commutative_algebra_ideals import CommutativeAlgebraIdeals
+from sage.categories.commutative_ring_ideals import CommutativeRingIdeals
+from sage.categories.algebra_modules import AlgebraModules
+from sage.categories.algebra_ideals import AlgebraIdeals
+from sage.categories.commutative_algebra_ideals import CommutativeAlgebraIdeals
 
 # schemes and varieties
-from .modular_abelian_varieties import ModularAbelianVarieties
-from .schemes import Schemes
+from sage.categories.modular_abelian_varieties import ModularAbelianVarieties
+from sage.categories.schemes import Schemes
 
 # * with basis
-from .modules_with_basis import ModulesWithBasis
+from sage.categories.modules_with_basis import ModulesWithBasis
 FreeModules = ModulesWithBasis
-from .hecke_modules            import HeckeModules
-from .algebras_with_basis      import AlgebrasWithBasis
-from .coalgebras_with_basis    import CoalgebrasWithBasis
-from .bialgebras_with_basis    import BialgebrasWithBasis
-from .hopf_algebras_with_basis import HopfAlgebrasWithBasis
+from sage.categories.hecke_modules            import HeckeModules
+from sage.categories.algebras_with_basis      import AlgebrasWithBasis
+from sage.categories.coalgebras_with_basis    import CoalgebrasWithBasis
+from sage.categories.bialgebras_with_basis    import BialgebrasWithBasis
+from sage.categories.hopf_algebras_with_basis import HopfAlgebrasWithBasis
 
 # finite dimensional * with basis
-from .finite_dimensional_modules_with_basis       import FiniteDimensionalModulesWithBasis
-from .finite_dimensional_algebras_with_basis      import FiniteDimensionalAlgebrasWithBasis
-from .finite_dimensional_coalgebras_with_basis    import FiniteDimensionalCoalgebrasWithBasis
-from .finite_dimensional_bialgebras_with_basis    import FiniteDimensionalBialgebrasWithBasis
-from .finite_dimensional_hopf_algebras_with_basis import FiniteDimensionalHopfAlgebrasWithBasis
+from sage.categories.finite_dimensional_modules_with_basis       import FiniteDimensionalModulesWithBasis
+from sage.categories.finite_dimensional_algebras_with_basis      import FiniteDimensionalAlgebrasWithBasis
+from sage.categories.finite_dimensional_coalgebras_with_basis    import FiniteDimensionalCoalgebrasWithBasis
+from sage.categories.finite_dimensional_bialgebras_with_basis    import FiniteDimensionalBialgebrasWithBasis
+from sage.categories.finite_dimensional_hopf_algebras_with_basis import FiniteDimensionalHopfAlgebrasWithBasis
 
 # graded *
-from .graded_modules       import GradedModules
-from .graded_algebras      import GradedAlgebras
-from .graded_coalgebras    import GradedCoalgebras
-from .graded_bialgebras    import GradedBialgebras
-from .graded_hopf_algebras import GradedHopfAlgebras
+from sage.categories.graded_modules       import GradedModules
+from sage.categories.graded_algebras      import GradedAlgebras
+from sage.categories.graded_coalgebras    import GradedCoalgebras
+from sage.categories.graded_bialgebras    import GradedBialgebras
+from sage.categories.graded_hopf_algebras import GradedHopfAlgebras
 
 # graded * with basis
-from .graded_modules_with_basis       import GradedModulesWithBasis
-from .graded_algebras_with_basis      import GradedAlgebrasWithBasis
-from .graded_coalgebras_with_basis    import GradedCoalgebrasWithBasis
-from .graded_bialgebras_with_basis    import GradedBialgebrasWithBasis
-from .graded_hopf_algebras_with_basis import GradedHopfAlgebrasWithBasis
+from sage.categories.graded_modules_with_basis       import GradedModulesWithBasis
+from sage.categories.graded_algebras_with_basis      import GradedAlgebrasWithBasis
+from sage.categories.graded_coalgebras_with_basis    import GradedCoalgebrasWithBasis
+from sage.categories.graded_bialgebras_with_basis    import GradedBialgebrasWithBasis
+from sage.categories.graded_hopf_algebras_with_basis import GradedHopfAlgebrasWithBasis
 
 # Coxeter groups
-from .coxeter_groups import CoxeterGroups
+from sage.categories.coxeter_groups import CoxeterGroups
 lazy_import('sage.categories.finite_coxeter_groups', 'FiniteCoxeterGroups')
-from .weyl_groups import WeylGroups
-from .finite_weyl_groups import FiniteWeylGroups
-from .affine_weyl_groups import AffineWeylGroups
+from sage.categories.weyl_groups import WeylGroups
+from sage.categories.finite_weyl_groups import FiniteWeylGroups
+from sage.categories.affine_weyl_groups import AffineWeylGroups
 
 # crystal bases
-from .crystals import Crystals
-from .highest_weight_crystals import HighestWeightCrystals
-from .regular_crystals import RegularCrystals
-from .finite_crystals import FiniteCrystals
-from .classical_crystals import ClassicalCrystals
+from sage.categories.crystals import Crystals
+from sage.categories.highest_weight_crystals import HighestWeightCrystals
+from sage.categories.regular_crystals import RegularCrystals
+from sage.categories.finite_crystals import FiniteCrystals
+from sage.categories.classical_crystals import ClassicalCrystals
 
 # polyhedra
 lazy_import('sage.categories.polyhedra', 'PolyhedralSets')

src/sage/categories/all__sagemath_objects.py

@@ -4,28 +4,25 @@
 
 # Resolve a circular import so that "import sage.categories.all" can succeed
 # in initializing the category system.
-import sage.structure.category_object    # imports sage.categories.category
+import sage.structure.category_object  # imports sage.categories.category
 
-# Small part of "from .basic import *":
-from .objects import Objects
-from .sets_cat import Sets, EmptySetError
+# Small part of "from sage.categories.basic import *":
+from sage.categories.objects import Objects
+from sage.categories.sets_cat import Sets, EmptySetError
 
 
-from .category import Category
+from sage.categories.category import Category
 
-from .category_types import Elements
+from sage.categories.category_types import Elements
 
-from .cartesian_product import cartesian_product
+from sage.categories.cartesian_product import cartesian_product
 
-from .functor  import (ForgetfulFunctor,
-                      IdentityFunctor)
+from sage.categories.functor import ForgetfulFunctor, IdentityFunctor
 
-from .homset   import (Hom, hom,
-                      End, end,
-                      Homset, HomsetWithBase)
+from sage.categories.homset import Hom, hom, End, end, Homset, HomsetWithBase
 
-from .morphism import Morphism
+from sage.categories.morphism import Morphism
 
-from .realizations import Realizations
+from sage.categories.realizations import Realizations
 
-from .sets_with_partial_maps import SetsWithPartialMaps
+from sage.categories.sets_with_partial_maps import SetsWithPartialMaps