dc.contributor.author |
Abuhlail J. |
|
dc.contributor.author |
Il’in S. |
|
dc.contributor.author |
Katsov Y. |
|
dc.contributor.author |
Nam T. |
|
dc.date.accessioned |
2018-09-19T20:26:01Z |
|
dc.date.available |
2018-09-19T20:26:01Z |
|
dc.date.issued |
2017 |
|
dc.identifier.issn |
0219-4988 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/142902 |
|
dc.description.abstract |
© 2018 World Scientific Publishing CompanyIn this paper, we introduce and study e-injective semimodules, in particular over additively idempotent semirings. We completely characterize semirings all of whose semimodules are e-injective, describe semirings all of whose projective semimodules are e-injective, and characterize one-sided Noetherian rings in terms of direct sums of e-injective semimodules. Also, we give complete characterizations of bounded distributive lattices, subtractive semirings, and simple semirings, all of whose cyclic (finitely generated) semimodules are e-injective. |
|
dc.relation.ispartofseries |
Journal of Algebra and its Applications |
|
dc.subject |
(e-)Injective semimodule |
|
dc.subject |
(e-)projective semimodule |
|
dc.subject |
Morita equivalence of semirings |
|
dc.subject |
simple semirings |
|
dc.title |
Toward homological characterization of semirings by e-injective semimodules |
|
dc.type |
Article in Press |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.source.id |
SCOPUS02194988-2017-SID85018846013 |
|