Some examples of nonassociative coalgebras and supercoalgebras

dc.contributor.author	Kozybaev, Daniyar
dc.contributor.author	Umirbaev, Ualbai
dc.contributor.author	Zhelyabin, Viktor
dc.date.accessioned	2024-12-13T08:28:54Z
dc.date.available	2024-12-13T08:28:54Z
dc.date.issued	2022
dc.identifier.issn	0024-3795
dc.identifier.other	doi.org/10.1016/j.laa.2022.02.031
dc.identifier.uri	http://rep.enu.kz/handle/enu/20214
dc.description.abstract	Locally finiteness of some varieties of nonassociative coalgebras is studied and the Gelfand-Dorfman construction for Novikov coalgebras and the Kantor construction for Jordan super-coalgebras are given. We give examples of a non-locally finite differential coalgebra, Novikov coalgebra, Lie coalgebra, Jordan super-coalgebra, and right-alternative coalgebra. The dual algebra of each of these examples satisfies very strong additional identities. We also constructed examples of an infinite dimensional simple differential coalgebra, Novikov coalgebra, Lie coalgebra, and Jordan super-coalgebra over a field of characteristic zero.	ru
dc.language.iso	en	ru
dc.publisher	Linear Algebra and its Applications	ru
dc.relation.ispartofseries	643 (2022) 235–257;
dc.subject	Coalgebra	ru
dc.subject	Coderivation	ru
dc.subject	Novikov algebra	ru
dc.subject	Lie algebra	ru
dc.subject	Jordan superalgebra	ru
dc.subject	Right-alternative algebra	ru
dc.title	Some examples of nonassociative coalgebras and supercoalgebras	ru
dc.type	Article	ru