In 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
A ring is called m-nil clean if every element is a sum of a nilpotentand an m-potent element. We stu...
Abstract. All rings considered are commutative with unity. In this paper, It is proved that the amal...
Abstract. Let R be an associative ring with unity. An element a ∈ R is said to be r-clean if a = e+r...
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...
Abstract. Rings are assumed to be commutative. Recent work gives some of the tools needed to charact...
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 ...
Let R be an associative unital ring and let a R be a strongly nil clean element. We introduce a new ...
AbstractAn associative ring with unity is called clean (respectively uniquely clean) if every elemen...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
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 ...
A ring is called m-nil clean if every element is a sum of a nilpotentand an m-potent element. We stu...
Abstract. All rings considered are commutative with unity. In this paper, It is proved that the amal...
Abstract. Let R be an associative ring with unity. An element a ∈ R is said to be r-clean if a = e+r...
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...
Abstract. Rings are assumed to be commutative. Recent work gives some of the tools needed to charact...
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 ...
Let R be an associative unital ring and let a R be a strongly nil clean element. We introduce a new ...
AbstractAn associative ring with unity is called clean (respectively uniquely clean) if every elemen...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
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 ...
A ring is called m-nil clean if every element is a sum of a nilpotentand an m-potent element. We stu...
Abstract. All rings considered are commutative with unity. In this paper, It is proved that the amal...
Abstract. Let R be an associative ring with unity. An element a ∈ R is said to be r-clean if a = e+r...
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