| dc.creator |
KESKİN TÜTÜNCÜ, DERYA |
|
| dc.creator |
Ertas, Nil Orhan |
|
| dc.creator |
Tribak, Rachid |
|
| dc.date |
2008-01-01T01:00:00Z |
|
| dc.date.accessioned |
2021-12-03T11:30:49Z |
|
| dc.date.available |
2021-12-03T11:30:49Z |
|
| dc.identifier |
78426a28-c744-4c0a-9b65-a78e4531a190 |
|
| dc.identifier |
10.1007/978-3-7643-8742-6_17 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/78426a28-c744-4c0a-9b65-a78e4531a190/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/92802 |
|
| dc.description |
A module N is an element of sigma[M] is called cohereditary in sigma[M] if every factor module of N is injective in sigma[M]. This paper explores the properties and the structure of some classes of cohereditary modules. Among others, we prove that any cohereditary lifting semi-artinian module in a[M] is a direct sum of Artinian uniserial modules. We show that over a commutative ring a lifting module N with small radical is cohereditary in a[M] if and only if N is semisimple M-injective. It is also shown that if E is an indecomposable injective module over a commutative Noetherian ring R with associated prime ideal p, then E is cohereditary lifting if and only if there is only one maximal ideal m over p and the ring R-m is a discrete valuation ring. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Cohereditary modules in sigma[M] |
|
| dc.type |
info:eu-repo/semantics/conferenceObject |
|