Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Module_(mathematics)> ?p ?o }
- Module_(mathematics) abstract "In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra. A module over a ring is a generalization of the notion of vector space over a field, wherein the corresponding scalars are the elements of an arbitrary given ring (with identity) and a multiplication (on the left and/or on the right) is defined between elements of the ring and elements of the module.Thus, a module, like a vector space, is an additive abelian group; a product is defined between elements of the ring and elements of the module that is distributive over the addition operation of each parameter and is compatible with the ring multiplication.Modules are very closely related to the representation theory of groups. They are also one of the central notions of commutative algebra and homological algebra, and are used widely in algebraic geometry and algebraic topology.".
- Module_(mathematics) wikiPageExternalLink why-is-it-a-good-idea-to-study-a-ring-by-studying-its-modules.
- Module_(mathematics) wikiPageID "276410".
- Module_(mathematics) wikiPageLength "19873".
- Module_(mathematics) wikiPageOutDegree "142".
- Module_(mathematics) wikiPageRevisionID "701907693".
- Module_(mathematics) wikiPageWikiLink Abelian_category.
- Module_(mathematics) wikiPageWikiLink Abelian_group.
- Module_(mathematics) wikiPageWikiLink Abstract_algebra.
- Module_(mathematics) wikiPageWikiLink Algebra_over_a_field.
- Module_(mathematics) wikiPageWikiLink Algebraic_geometry.
- Module_(mathematics) wikiPageWikiLink Algebraic_structure.
- Module_(mathematics) wikiPageWikiLink Algebraic_topology.
- Module_(mathematics) wikiPageWikiLink Annihilator_(ring_theory).
- Module_(mathematics) wikiPageWikiLink Artinian_module.
- Module_(mathematics) wikiPageWikiLink Ascending_chain_condition.
- Module_(mathematics) wikiPageWikiLink Axiom_of_choice.
- Module_(mathematics) wikiPageWikiLink Basis_(linear_algebra).
- Module_(mathematics) wikiPageWikiLink Bijection.
- Module_(mathematics) wikiPageWikiLink Bimodule.
- Module_(mathematics) wikiPageWikiLink Cartesian_product.
- Module_(mathematics) wikiPageWikiLink Category:Algebraic_structures.
- Module_(mathematics) wikiPageWikiLink Category:Module_theory.
- Module_(mathematics) wikiPageWikiLink Category_(mathematics).
- Module_(mathematics) wikiPageWikiLink Category_of_modules.
- Module_(mathematics) wikiPageWikiLink Category_theory.
- Module_(mathematics) wikiPageWikiLink Commutative_algebra.
- Module_(mathematics) wikiPageWikiLink Commutative_property.
- Module_(mathematics) wikiPageWikiLink Commutative_ring.
- Module_(mathematics) wikiPageWikiLink Cyclic_module.
- Module_(mathematics) wikiPageWikiLink Decimal.
- Module_(mathematics) wikiPageWikiLink Differentiable_manifold.
- Module_(mathematics) wikiPageWikiLink Differential_form.
- Module_(mathematics) wikiPageWikiLink Direct_sum.
- Module_(mathematics) wikiPageWikiLink Direct_sum_of_modules.
- Module_(mathematics) wikiPageWikiLink Distributive_property.
- Module_(mathematics) wikiPageWikiLink Elementary_class.
- Module_(mathematics) wikiPageWikiLink Endomorphism_ring.
- Module_(mathematics) wikiPageWikiLink Equivalence_of_categories.
- Module_(mathematics) wikiPageWikiLink Euclidean_space.
- Module_(mathematics) wikiPageWikiLink Exact_sequence.
- Module_(mathematics) wikiPageWikiLink Field_(mathematics).
- Module_(mathematics) wikiPageWikiLink Finite_field.
- Module_(mathematics) wikiPageWikiLink Finitely_generated_module.
- Module_(mathematics) wikiPageWikiLink Flat_module.
- Module_(mathematics) wikiPageWikiLink Free_module.
- Module_(mathematics) wikiPageWikiLink Function_(mathematics).
- Module_(mathematics) wikiPageWikiLink Functor_category.
- Module_(mathematics) wikiPageWikiLink Glossary_of_Lie_algebras.
- Module_(mathematics) wikiPageWikiLink Glossary_of_ring_theory.
- Module_(mathematics) wikiPageWikiLink Graded_ring.
- Module_(mathematics) wikiPageWikiLink Group_(mathematics).
- Module_(mathematics) wikiPageWikiLink Group_action.
- Module_(mathematics) wikiPageWikiLink Group_homomorphism.
- Module_(mathematics) wikiPageWikiLink Group_ring.
- Module_(mathematics) wikiPageWikiLink Homological_algebra.
- Module_(mathematics) wikiPageWikiLink Homomorphism.
- Module_(mathematics) wikiPageWikiLink Ideal_(ring_theory).
- Module_(mathematics) wikiPageWikiLink Indecomposable_module.
- Module_(mathematics) wikiPageWikiLink Injective_function.
- Module_(mathematics) wikiPageWikiLink Injective_module.
- Module_(mathematics) wikiPageWikiLink Integer.
- Module_(mathematics) wikiPageWikiLink Invariant_basis_number.
- Module_(mathematics) wikiPageWikiLink Isomorphism.
- Module_(mathematics) wikiPageWikiLink Isomorphism_theorem.
- Module_(mathematics) wikiPageWikiLink Kernel_(algebra).
- Module_(mathematics) wikiPageWikiLink Lattice_(order).
- Module_(mathematics) wikiPageWikiLink Linear_combination.
- Module_(mathematics) wikiPageWikiLink Linear_map.
- Module_(mathematics) wikiPageWikiLink Lp_space.
- Module_(mathematics) wikiPageWikiLink Map_(mathematics).
- Module_(mathematics) wikiPageWikiLink MathOverflow.
- Module_(mathematics) wikiPageWikiLink Mathematics.
- Module_(mathematics) wikiPageWikiLink Matrix_(mathematics).
- Module_(mathematics) wikiPageWikiLink Matrix_multiplication.
- Module_(mathematics) wikiPageWikiLink Modular_arithmetic.
- Module_(mathematics) wikiPageWikiLink Modular_lattice.
- Module_(mathematics) wikiPageWikiLink Module_homomorphism.
- Module_(mathematics) wikiPageWikiLink Module_spectrum.
- Module_(mathematics) wikiPageWikiLink Monoid.
- Module_(mathematics) wikiPageWikiLink Nathan_Jacobson.
- Module_(mathematics) wikiPageWikiLink Natural_number.
- Module_(mathematics) wikiPageWikiLink Near-ring.
- Module_(mathematics) wikiPageWikiLink Noetherian_module.
- Module_(mathematics) wikiPageWikiLink Pathological_(mathematics).
- Module_(mathematics) wikiPageWikiLink Polynomial_ring.
- Module_(mathematics) wikiPageWikiLink Preadditive_category.
- Module_(mathematics) wikiPageWikiLink Principal_ideal_domain.
- Module_(mathematics) wikiPageWikiLink Projective_module.
- Module_(mathematics) wikiPageWikiLink Quotient_ring.
- Module_(mathematics) wikiPageWikiLink Real_number.
- Module_(mathematics) wikiPageWikiLink Representation_theory.
- Module_(mathematics) wikiPageWikiLink Ring_(mathematics).
- Module_(mathematics) wikiPageWikiLink Ring_homomorphism.
- Module_(mathematics) wikiPageWikiLink Ringed_space.
- Module_(mathematics) wikiPageWikiLink Scalar_(mathematics).
- Module_(mathematics) wikiPageWikiLink Semigroup_action.
- Module_(mathematics) wikiPageWikiLink Semiring.
- Module_(mathematics) wikiPageWikiLink Semisimple_module.
- Module_(mathematics) wikiPageWikiLink Serre–Swan_theorem.