Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Coalgebra> ?p ?o }
- Coalgebra abstract "In mathematics, coalgebras or cogebras are structures that are dual (in the category-theoretic sense of reversing arrows) to unital associative algebras. The axioms of unital associative algebras can be formulated in terms of commutative diagrams. Turning all arrows around, one obtains the axioms of coalgebras.Every coalgebra, by (vector space) duality, gives rise to an algebra, but not in general the other way. In finite dimensions, this duality goes in both directions (see below).Coalgebras occur naturally in a number of contexts (for example, universal enveloping algebras and group schemes).There are also F-coalgebras, with important applications in computer science.".
- Coalgebra thumbnail Coalg.png?width=300.
- Coalgebra wikiPageExternalLink crt.pdf.
- Coalgebra wikiPageID "310886".
- Coalgebra wikiPageLength "15183".
- Coalgebra wikiPageOutDegree "57".
- Coalgebra wikiPageRevisionID "679884901".
- Coalgebra wikiPageWikiLink Algebra_over_a_field.
- Coalgebra wikiPageWikiLink Algebra_representation.
- Coalgebra wikiPageWikiLink American_Mathematical_Society.
- Coalgebra wikiPageWikiLink Associative_algebra.
- Coalgebra wikiPageWikiLink Associative_property.
- Coalgebra wikiPageWikiLink Associativity.
- Coalgebra wikiPageWikiLink Axiom.
- Coalgebra wikiPageWikiLink Basis_(linear_algebra).
- Coalgebra wikiPageWikiLink Bialgebra.
- Coalgebra wikiPageWikiLink Category:Coalgebras.
- Coalgebra wikiPageWikiLink Category_theory.
- Coalgebra wikiPageWikiLink Cofree_coalgebra.
- Coalgebra wikiPageWikiLink Commutative_diagram.
- Coalgebra wikiPageWikiLink Comodule.
- Coalgebra wikiPageWikiLink Computer_science.
- Coalgebra wikiPageWikiLink Dimension.
- Coalgebra wikiPageWikiLink Dual_(category_theory).
- Coalgebra wikiPageWikiLink Dual_space.
- Coalgebra wikiPageWikiLink Exterior_algebra.
- Coalgebra wikiPageWikiLink F-coalgebra.
- Coalgebra wikiPageWikiLink Field_(mathematics).
- Coalgebra wikiPageWikiLink Function_composition.
- Coalgebra wikiPageWikiLink Functional_composition.
- Coalgebra wikiPageWikiLink Group_scheme.
- Coalgebra wikiPageWikiLink Hopf_algebra.
- Coalgebra wikiPageWikiLink Identity_element.
- Coalgebra wikiPageWikiLink Identity_function.
- Coalgebra wikiPageWikiLink Image_(mathematics).
- Coalgebra wikiPageWikiLink Indeterminate_(variable).
- Coalgebra wikiPageWikiLink Isomorphism.
- Coalgebra wikiPageWikiLink Isomorphism_theorem.
- Coalgebra wikiPageWikiLink Kernel_(algebra).
- Coalgebra wikiPageWikiLink Künneth_theorem.
- Coalgebra wikiPageWikiLink Lie_bialgebra.
- Coalgebra wikiPageWikiLink Linear_function.
- Coalgebra wikiPageWikiLink Linear_subspace.
- Coalgebra wikiPageWikiLink Locally_finite_poset.
- Coalgebra wikiPageWikiLink Mathematics.
- Coalgebra wikiPageWikiLink Measuring_coalgebra.
- Coalgebra wikiPageWikiLink Multilinear_map.
- Coalgebra wikiPageWikiLink Polynomial_ring.
- Coalgebra wikiPageWikiLink Primitive_element_(co-algebra).
- Coalgebra wikiPageWikiLink Quotient_space_(linear_algebra).
- Coalgebra wikiPageWikiLink Representation_of_an_algebra.
- Coalgebra wikiPageWikiLink Set_(mathematics).
- Coalgebra wikiPageWikiLink Singular_homology.
- Coalgebra wikiPageWikiLink Springer-Verlag.
- Coalgebra wikiPageWikiLink Springer_Science+Business_Media.
- Coalgebra wikiPageWikiLink Tensor_algebra.
- Coalgebra wikiPageWikiLink Tensor_product_of_modules.
- Coalgebra wikiPageWikiLink Topological_space.
- Coalgebra wikiPageWikiLink Unital_algebra.
- Coalgebra wikiPageWikiLink Universal_enveloping_algebra.
- Coalgebra wikiPageWikiLink Vector_space.
- Coalgebra wikiPageWikiLink File:Coalg.png.
- Coalgebra wikiPageWikiLinkText "'''co-multiplication'''".
- Coalgebra wikiPageWikiLinkText "Coalgebra".
- Coalgebra wikiPageWikiLinkText "Coalgebra#Examples".
- Coalgebra wikiPageWikiLinkText "Coalgebra#Further concepts and facts".
- Coalgebra wikiPageWikiLinkText "Coalgebra#Further_concepts_and_facts".
- Coalgebra wikiPageWikiLinkText "Coalgebra#Sweedler notation".
- Coalgebra wikiPageWikiLinkText "Sweedler notation".
- Coalgebra wikiPageWikiLinkText "coalgebra morphisms".
- Coalgebra wikiPageWikiLinkText "coalgebra".
- Coalgebra wikiPageWikiLinkText "coalgebra#counit".
- Coalgebra wikiPageWikiLinkText "coassociative coproducts".
- Coalgebra wikiPageWikiLinkText "coassociative".
- Coalgebra wikiPageWikiLinkText "cocommutativity".
- Coalgebra wikiPageWikiLinkText "coideal".
- Coalgebra wikiPageWikiLinkText "comultiplications".
- Coalgebra wikiPageWikiLinkText "coproduct".
- Coalgebra wikiPageWikiLinkText "corepresentation".
- Coalgebra hasPhotoCollection Coalgebra.
- Coalgebra wikiPageUsesTemplate Template:Citation.
- Coalgebra wikiPageUsesTemplate Template:Cite_book.
- Coalgebra wikiPageUsesTemplate Template:Visible_anchor.
- Coalgebra subject Category:Coalgebras.
- Coalgebra hypernym Structures.
- Coalgebra type Article.
- Coalgebra type Building.
- Coalgebra type Article.
- Coalgebra type Theory.
- Coalgebra comment "In mathematics, coalgebras or cogebras are structures that are dual (in the category-theoretic sense of reversing arrows) to unital associative algebras. The axioms of unital associative algebras can be formulated in terms of commutative diagrams. Turning all arrows around, one obtains the axioms of coalgebras.Every coalgebra, by (vector space) duality, gives rise to an algebra, but not in general the other way.".
- Coalgebra label "Coalgebra".
- Coalgebra sameAs Koalgebra.
- Coalgebra sameAs Coalgèbre.
- Coalgebra sameAs 余代数.
- Coalgebra sameAs Coálgebra.
- Coalgebra sameAs m.01t59d.
- Coalgebra sameAs Коалгебра.
- Coalgebra sameAs Q1777803.
- Coalgebra sameAs Q1777803.
- Coalgebra sameAs 餘代數.