On S-strong Mori modules |
| |
Authors: | Ahmed Hamed Walid Maaref |
| |
Affiliation: | 1.Department of Mathematics, Faculty of Sciences,University of Monastir,Monastir,Tunisia |
| |
Abstract: | Let A be an integral domain, (Ssubseteq A) be a multiplicative set and M a w-module as an A-module. In this paper we investigate S-SM-modules. We give an S-version of the result of Wang and McCasland (Commun Algebra 25:1285–1306, 1997) in the case where S is countable. We prove that M is an S-SM-module if and only if every increasing sequence of w-submodules of M is S-stationary if and only if every increasing sequence of S-w-finite w-submodules of M is S-stationary if and only if every increasing sequence of w-finite type submodules of M is S-stationary. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|