| ID | 49101 |
| FullText URL | |
| Author |
Miyahara, Hiroki
|
| Abstract | In this paper, we discuss on the existence of filtrations of
modules having good properties. In particular, we focus on filtered
homomorphisms called strict, and show that there exists a filtration
which makes a filtered homomorphism a strict filtered homomorphism.
Moreover, by using this result, we study purity for filtered modules over
a Gorenstein filtered ring.
|
| Keywords | filtered ring
Auslander-Gorenstein ring
|
| Published Date | 2013-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume55
|
| Issue | issue1
|
| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 131
|
| End Page | 143
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| Content Type |
Journal Article
|
| language |
English
|
| Copyright Holders | Copyright©2013 by the Editorial Board of Mathematical Journal of Okayama University
|
| File Version | publisher
|
| Refereed |
True
|
| Submission Path | mjou/vol55/iss1/6
|
| JaLCDOI |