Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8946263 | Journal of Algebra | 2018 | 14 Pages |
Abstract
A ring R is called left k-cyclic if every left R-module is a direct sum of indecomposable modules which are homomorphic image of RkR. In this paper, we give a characterization of left k-cyclic rings. As a consequence, we give a characterization of left Köthe rings, which is a generalization of Köthe-Cohen-Kaplansky theorem. We also characterize rings which are Morita equivalent to a basic left k-cyclic ring. As a corollary, we show that R is Morita equivalent to a basic left Köthe ring if and only if R is an artinian left multiplicity-free top ring.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ziba Fazelpour, Alireza Nasr-Isfahani,