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 |
|