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Q-modules
Q-module almost Q-module Q-ring almost Q-ring Laskerian ring Laskerian module Noetherian spectrum multiplication ideal and quasi-principal ideal
2010/2/25
In this paper we characterize Q-modules and almost Q-modules. Next we estblish some equivalent conditions for an almost Q-module to be a Q-module. Using these results, some characterizations are given...
A Recursive Method for Determining the One-Dimensional Submodules of Laurent-Ore Modules
One-dimensional submodules Hyperexponential solutions Laurent-Ore algebras Associated systems
2013/9/3
We present a method for determining the one-dimensional submodules of a Laurent-Ore module. The method is based on a correspondence between hyperexponential solutions of associated systems and one-dim...
Let G be a group with identity e, and let R be a G-graded commutative ring. Here we study the graded primary submodules of a G-graded R-module and examine when graded submodules of a graded representa...
On Reduced and Semicommutative Modules
Reduced Rings (Modules) Baer quasi-Baer and Rings (Modules)
2010/2/26
In this paper, various results of reduced and semicommutative rings are extended to reduced and semicommutative modules. In particular, we show: (1) For a principally quasi-Baer module, MR is semicomm...
Let R be a ring, M be a right R-module and S = EndR(M). M is called a quasi-dual module if, for every R-submodule N of M, N is a direct summand of rM(X) where X \subseteq S. In this article, we study ...
On Prime Submodules of Finitely Generated Free Modules
Prime Submodules Finitely Generated Free Modules
2010/3/1
The aim of this work is to investigate prime submodules of finitely generated free modules over commutative domains in some special cases.
In this paper, wer define the pullback cat1-groups and we showed that the category of bullback cat1-group is equivalent to the category of pullback crossed modules. 1991 A. M. S. C.: 13D99, 16A99, 17B...
In this paper we give necessary conditions for a finite direct sum of (D1)--modules to be a (D1)--module.