A note on commutative weakly nil clean rings

被引：13
作者：
Stancu, Alin [1 ]
机构：
[1] Columbus State Univ, Dept Math, Columbus, GA 31907 USA
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 10期
关键词：
Nil clean rings; weakly nil clean rings; tensor product of algebras; QUANTIZED ENVELOPING-ALGEBRAS; ZONAL SPHERICAL-FUNCTIONS; QUANTUM SYMMETRIC PAIRS; COIDEAL SUBALGEBRAS;
D O I：
10.1142/S0219498816200012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we discuss some properties of abelian (weakly) nil clean rings. We prove that any subring of an abelian (weakly) nil clean ring is (weakly) nil clean (Theorem 2). We also show that the tensor product of commutative (weakly) nil clean rings is also (weakly) nil clean and give sufficient conditions for the converse to be true (Theorems 3-6).
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页数：17
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