dc.contributor.author |
Il'in S. |
|
dc.contributor.author |
Katsov Y. |
|
dc.contributor.author |
Nam T. |
|
dc.date.accessioned |
2018-09-19T20:13:08Z |
|
dc.date.available |
2018-09-19T20:13:08Z |
|
dc.date.issued |
2017 |
|
dc.identifier.issn |
0021-8693 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/142702 |
|
dc.description.abstract |
© 2016 Elsevier Inc.In this paper, we introduce homological structure theory of semirings and CP-semirings — semirings all of whose cyclic semimodules are projective. We completely describe semisimple, Gelfand, subtractive, and anti-bounded, CP-semirings. We give complete characterizations of congruence-simple subtractive CP-semirings and congruence-simple anti-bounded semirings, which solve two earlier open problems for these classes of semirings. We also study in detail the properties of semimodules over Boolean algebras whose endomorphism semirings are CP-semirings; and, as a consequence of this result, we give a complete description of ideal-simple CP-semirings. |
|
dc.relation.ispartofseries |
Journal of Algebra |
|
dc.subject |
(Congruence-simple, ideal-simple) simple semirings |
|
dc.subject |
CP-semirings |
|
dc.subject |
Endomorphism semirings |
|
dc.subject |
Projective semimodules |
|
dc.subject |
Semilattices |
|
dc.subject |
Semisimple semirings |
|
dc.title |
Toward homological structure theory of semimodules: On semirings all of whose cyclic semimodules are projective |
|
dc.type |
Article |
|
dc.relation.ispartofseries-volume |
476 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
238 |
|
dc.source.id |
SCOPUS00218693-2017-476-SID85009110517 |
|