Add to ORKGIn this paper we unify the structures of various clean rings by introducing the notion of P-clean rings. Some properties of P-clean rings are investigated, which generalize the known results on clean rings, semiclean rings, n-clean rings, and so forth. By the way, we answer a question of Xiao and Tong on n-clean rings in the negative. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved. 1
To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ...
This thesis discusses the ring clean, clean module and ring exchange. After that it was shown right ...
A $*$-ring $R$ is called (strongly) $*$-clean if every element of $R$ is the sum of a unit and a pro...
In this paper we unify the structures of various clean rings by introducing the notion of P-clean ri...
In this paper we unify the structures of various clean rings by introducing the notion of P-clean ri...
<p>In this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean ring...
Abstract. In this paper, we introduce the new notion of n-f-clean rings as a generalization of f-cle...
A ring R is called n-clean ring if every element of R can be written as a sum of an idempotent and n...
A ring is said to be clean if each element in the ring can be written as the sum of a unit and an id...
Cataloged from PDF version of article.An element of a ring R is strongly P -clean provided that ...
Abstract. Rings are assumed to be commutative. Recent work gives some of the tools needed to charact...
A ring is called m-nil clean if every element is a sum of a nilpotentand an m-potent element. We stu...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
Let R be an associative unital ring and let a R be a strongly nil clean element. We introduce a new ...
summary:Let $R$ be an associative unital ring and let $a\in R$ be a strongly nil clean element. We i...
To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ...
This thesis discusses the ring clean, clean module and ring exchange. After that it was shown right ...
A $*$-ring $R$ is called (strongly) $*$-clean if every element of $R$ is the sum of a unit and a pro...
In this paper we unify the structures of various clean rings by introducing the notion of P-clean ri...
In this paper we unify the structures of various clean rings by introducing the notion of P-clean ri...
<p>In this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean ring...
Abstract. In this paper, we introduce the new notion of n-f-clean rings as a generalization of f-cle...
A ring R is called n-clean ring if every element of R can be written as a sum of an idempotent and n...
A ring is said to be clean if each element in the ring can be written as the sum of a unit and an id...
Cataloged from PDF version of article.An element of a ring R is strongly P -clean provided that ...
Abstract. Rings are assumed to be commutative. Recent work gives some of the tools needed to charact...
A ring is called m-nil clean if every element is a sum of a nilpotentand an m-potent element. We stu...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
Let R be an associative unital ring and let a R be a strongly nil clean element. We introduce a new ...
summary:Let $R$ be an associative unital ring and let $a\in R$ be a strongly nil clean element. We i...
To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ...
This thesis discusses the ring clean, clean module and ring exchange. After that it was shown right ...
A $*$-ring $R$ is called (strongly) $*$-clean if every element of $R$ is the sum of a unit and a pro...