Rings with commuting nilpotents and zero divisors

被引：3
|
作者：
Klein, Abraham A. [1 ]
Bell, Howard E. [2 ]
机构：
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
[2] Brock Univ, Dept Math, St Catharines, ON L2S 3A1, Canada
来源：
RESULTS IN MATHEMATICS | 2007年 / 51卷 / 1-2期
基金：
加拿大自然科学与工程研究理事会;
关键词：
commuting nilpotent elements; commuting zero divisors;
D O I：
10.1007/s00025-007-0259-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We explore the consequences of certain commutativity hypotheses on a single nilpotent element or the set N of all nilpotent elements. We give several sufficient conditions for N to be an ideal. We present some nontrivial examples, including an example in which N is commutative (in fact, N-2 = {0}) and N is not an ideal.
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页码：73 / 85
页数：13
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