dc.contributor.author |
Il'in S. |
|
dc.date.accessioned |
2018-09-18T20:31:41Z |
|
dc.date.available |
2018-09-18T20:31:41Z |
|
dc.date.issued |
2012 |
|
dc.identifier.issn |
0037-4466 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/140803 |
|
dc.description.abstract |
We investigate the semirings over which all simple semimodules are injective. In ring and module theory, the rings with an analogous condition are called V-rings. Therefore it is natural to call the semirings under consideration V-semirings. We obtain the semiring analogs of some well-known results on V-rings, including an analog of Kaplansky's theorem on commutative V-rings. © 2012 Pleiades Publishing, Ltd. |
|
dc.relation.ispartofseries |
Siberian Mathematical Journal |
|
dc.subject |
essential extension |
|
dc.subject |
injective semimodule |
|
dc.subject |
simple semimodule |
|
dc.subject |
V-ring |
|
dc.title |
V-semirings |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
2 |
|
dc.relation.ispartofseries-volume |
53 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
222 |
|
dc.source.id |
SCOPUS00374466-2012-53-2-SID84860383067 |
|