dc.contributor.author |
Abyzov A. |
|
dc.date.accessioned |
2018-09-18T20:31:36Z |
|
dc.date.available |
2018-09-18T20:31:36Z |
|
dc.date.issued |
2008 |
|
dc.identifier.issn |
0037-4466 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/140789 |
|
dc.description.abstract |
Under study are some conditions for the weakly regular modules to be closed under direct sums and the rings over which all modules are weakly regular. For an arbitrary right R-module M, we prove that every module in the category σ(M) is weakly regular if and only if each module in σ(M) is either semisimple or contains a nonzero M-injective submodule. We describe the normal rings over which all modules are weakly regular. © 2008 Pleiades Publishing, Ltd. |
|
dc.relation.ispartofseries |
Siberian Mathematical Journal |
|
dc.subject |
Regular ring |
|
dc.subject |
Semiartinian ring |
|
dc.subject |
SV-ring |
|
dc.subject |
Weakly regular ring |
|
dc.title |
Weakly regular modules over normal rings |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
4 |
|
dc.relation.ispartofseries-volume |
49 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
575 |
|
dc.source.id |
SCOPUS00374466-2008-49-4-SID51549095366 |
|