| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9497271 | Journal of Pure and Applied Algebra | 2005 | 12 Pages |
Abstract
A ring R is called right zip provided that if the right annihilator rR(X) of a subset X of R is zero, rR(Y)=0 for a finite subset YâX. Faith [5] raised the following questions: When does R being a right zip ring imply R[x] being right zip?; Characterize a ring R such that Matn(R) is right zip; When does R being a right zip ring imply R[G] being right zip when G is a finite group? In this note, we continue the study of the extensions of noncommutative zip rings based on Faith's questions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Chan Yong Hong, Nam Kyun Kim, Tai Keun Kwak, Yang Lee,