dc.contributor.author |
Il’in S. |
|
dc.date.accessioned |
2018-09-19T21:58:37Z |
|
dc.date.available |
2018-09-19T21:58:37Z |
|
dc.date.issued |
2017 |
|
dc.identifier.issn |
0037-4466 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/144552 |
|
dc.description.abstract |
© 2017, Pleiades Publishing, Ltd.We study the semirings whose simple semimodules are all projective. In particular, we establish that for every semiring S this condition implies the injectivity of all simple S-semimodules and show that, in contrast to the case of rings, the projectivity of all simple semimodules in general is not a left-right symmetric property. |
|
dc.relation.ispartofseries |
Siberian Mathematical Journal |
|
dc.subject |
projective semimodule |
|
dc.subject |
simple semimodule |
|
dc.subject |
V*-semiring |
|
dc.subject |
V-semiring |
|
dc.title |
On semirings whose simple semimodules are projective |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
2 |
|
dc.relation.ispartofseries-volume |
58 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
215 |
|
dc.source.id |
SCOPUS00374466-2017-58-2-SID85018828487 |
|