Matches in SemOpenAlex for { <https://semopenalex.org/work/W2938585625> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2938585625 endingPage "104" @default.
- W2938585625 startingPage "59" @default.
- W2938585625 abstract "Mal’tsev categories turned out to be a central concept in categorical algebra. On the one hand, the simplicity and the beauty of the notion is revealed by the wide variety of characterizations of a markedly different flavour. Depending on the context, one can define Mal’tsev categories as those for which ‘any reflexive relation is an equivalence’; ‘any relation is difunctional’; ‘the composition of equivalence relations on the same object is commutative’; ‘each fibre of the fibration of points is unital’ or ‘the forgetful functor from internal groupoids to reflexive graphs is saturated on subobjects’. For a variety of universal algebras, these are also equivalent to the existence in its algebraic theory of a Mal’tsev operation, i.e. a ternary operation p(x, y, z) satisfying the axioms p(x, x, y) = y and p(x, y, y) = x. On the other hand, Mal’tsev categories have been shown to be the right context in which to develop the theory of centrality of equivalence relations, Baer sums of extensions, and some homological lemmas such as the denormalized 3 × 3 Lemma, whose validity in a regular category is equivalent to the weaker ‘Goursat property’, which has also turned out to be of wide interest." @default.
- W2938585625 created "2019-04-25" @default.
- W2938585625 creator A5016038806 @default.
- W2938585625 creator A5030843272 @default.
- W2938585625 creator A5066229733 @default.
- W2938585625 date "2021-01-01" @default.
- W2938585625 modified "2023-09-24" @default.
- W2938585625 title "On the Naturalness of Mal’tsev Categories" @default.
- W2938585625 cites W189922225 @default.
- W2938585625 cites W1991774721 @default.
- W2938585625 cites W1996301369 @default.
- W2938585625 cites W2013820609 @default.
- W2938585625 cites W2024107799 @default.
- W2938585625 cites W2026008811 @default.
- W2938585625 cites W2031853075 @default.
- W2938585625 cites W2042312812 @default.
- W2938585625 cites W2043436876 @default.
- W2938585625 cites W2052866013 @default.
- W2938585625 cites W2070691582 @default.
- W2938585625 cites W2087189857 @default.
- W2938585625 cites W2091446959 @default.
- W2938585625 cites W2095401538 @default.
- W2938585625 cites W2099623379 @default.
- W2938585625 cites W2302731373 @default.
- W2938585625 cites W2329137525 @default.
- W2938585625 cites W2334234696 @default.
- W2938585625 cites W259825634 @default.
- W2938585625 cites W2766128471 @default.
- W2938585625 cites W2962858164 @default.
- W2938585625 cites W2963004793 @default.
- W2938585625 cites W3098224607 @default.
- W2938585625 cites W51660529 @default.
- W2938585625 cites W967340556 @default.
- W2938585625 doi "https://doi.org/10.1007/978-3-030-66545-6_3" @default.
- W2938585625 hasPublicationYear "2021" @default.
- W2938585625 type Work @default.
- W2938585625 sameAs 2938585625 @default.
- W2938585625 citedByCount "3" @default.
- W2938585625 countsByYear W29385856252019 @default.
- W2938585625 countsByYear W29385856252020 @default.
- W2938585625 countsByYear W29385856252021 @default.
- W2938585625 crossrefType "book-chapter" @default.
- W2938585625 hasAuthorship W2938585625A5016038806 @default.
- W2938585625 hasAuthorship W2938585625A5030843272 @default.
- W2938585625 hasAuthorship W2938585625A5066229733 @default.
- W2938585625 hasBestOaLocation W29385856252 @default.
- W2938585625 hasConcept C105795698 @default.
- W2938585625 hasConcept C136119220 @default.
- W2938585625 hasConcept C136197465 @default.
- W2938585625 hasConcept C151730666 @default.
- W2938585625 hasConcept C156103551 @default.
- W2938585625 hasConcept C156772000 @default.
- W2938585625 hasConcept C167729594 @default.
- W2938585625 hasConcept C202444582 @default.
- W2938585625 hasConcept C2524010 @default.
- W2938585625 hasConcept C2779343474 @default.
- W2938585625 hasConcept C2780069185 @default.
- W2938585625 hasConcept C33923547 @default.
- W2938585625 hasConcept C4042151 @default.
- W2938585625 hasConcept C86803240 @default.
- W2938585625 hasConceptScore W2938585625C105795698 @default.
- W2938585625 hasConceptScore W2938585625C136119220 @default.
- W2938585625 hasConceptScore W2938585625C136197465 @default.
- W2938585625 hasConceptScore W2938585625C151730666 @default.
- W2938585625 hasConceptScore W2938585625C156103551 @default.
- W2938585625 hasConceptScore W2938585625C156772000 @default.
- W2938585625 hasConceptScore W2938585625C167729594 @default.
- W2938585625 hasConceptScore W2938585625C202444582 @default.
- W2938585625 hasConceptScore W2938585625C2524010 @default.
- W2938585625 hasConceptScore W2938585625C2779343474 @default.
- W2938585625 hasConceptScore W2938585625C2780069185 @default.
- W2938585625 hasConceptScore W2938585625C33923547 @default.
- W2938585625 hasConceptScore W2938585625C4042151 @default.
- W2938585625 hasConceptScore W2938585625C86803240 @default.
- W2938585625 hasLocation W29385856251 @default.
- W2938585625 hasLocation W29385856252 @default.
- W2938585625 hasOpenAccess W2938585625 @default.
- W2938585625 hasPrimaryLocation W29385856251 @default.
- W2938585625 hasRelatedWork W1493730236 @default.
- W2938585625 hasRelatedWork W1985488429 @default.
- W2938585625 hasRelatedWork W2012693635 @default.
- W2938585625 hasRelatedWork W2021915098 @default.
- W2938585625 hasRelatedWork W2062762081 @default.
- W2938585625 hasRelatedWork W2119147527 @default.
- W2938585625 hasRelatedWork W2131625422 @default.
- W2938585625 hasRelatedWork W2899975002 @default.
- W2938585625 hasRelatedWork W2962931714 @default.
- W2938585625 hasRelatedWork W2964187826 @default.
- W2938585625 isParatext "false" @default.
- W2938585625 isRetracted "false" @default.
- W2938585625 magId "2938585625" @default.
- W2938585625 workType "book-chapter" @default.