Extensions of zip rings

被引：46
作者：
Hong, CY [5 ]
Kim, NK
Kwak, TK
Lee, Y
机构：
[1] Kyung Hee Univ, Res Inst Basic Sci, Seoul 130701, South Korea
[2] Hanbat Natl Univ, Div Gen Educ, Taejon 305719, South Korea
[3] Daejin Univ, Dept Math, Pocheon 487711, South Korea
[4] Pusan Natl Univ, Dept Math Educ, Pusan 609735, South Korea
[5] Kyung Hee Univ, Dept Math, Seoul 130701, South Korea
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2005年 / 195卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
D O I：
10.1016/j.jpaa.2004.08.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A ring R is called right zip provided that if the right annihilator r(R) (X) of a subset X of R is zero, r(R) (Y) = 0 for a finite subset Y subset of or equal to X. 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 Mat(n) (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. (C) 2004 Elsevier B.V. All rights reserved.
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页码：231 / 242
页数：12
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