Показать сокращенную информацию
dc.contributor.author | Abyzov A.N. | |
dc.contributor.author | Eryashkin M.S. | |
dc.date.accessioned | 2022-02-09T20:32:50Z | |
dc.date.available | 2022-02-09T20:32:50Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 0138-4821 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/168912 | |
dc.description.abstract | A right R-module M is called: (1) retractable if HomR(M,N)≠0 for any non-zero submodule N of M; (2) coretractable if HomR(M/N,M)≠0 for any proper submodule N of M. It shows that if M is locally noetherian and every nonzero module in the category σ[M] has a maximal submodule, then the retractability and coretractability of modules in σ[M] coincide. Let C be a coalgebra over a field k. We prove that all right C-comodules are retractable if and only if every right C-comodule is coretractable. | |
dc.relation.ispartofseries | Beitrage zur Algebra und Geometrie | |
dc.subject | Coretractable module | |
dc.subject | Retractable module | |
dc.title | Retractable and coretractable modules in Wisbauer category | |
dc.type | Article | |
dc.collection | Публикации сотрудников КФУ | |
dc.source.id | SCOPUS01384821-2021-SID85112394656 |