Add to ORKGA $*$-ring $R$ is called (strongly) $*$-clean if every element of $R$ is the sum of a unit and a projection (that commute). Vas [L. Vas, $*$-Clean rings; some clean and almost clean Baer $*$-rings and von Neumann algebras, J. Algebra 324(12) (2010), 3388-3400] asked whether there exists a $*$-ring that is clean but not $*$-clean and whether a unit regular and $*$-regular ring is strongly $*$-clean. In this paper, we answer the two questions. Moreover, some characterizations related to $*$-regular rings are given. 10.1017/S000497271300011
Abstract. Let R be an associative ring with unity. An element a ∈ R is said to be r-clean if a = e+r...
summary:Let $R$ be an associative unital ring and let $a\in R$ be a strongly nil clean element. We i...
It was asked by Nicholson (Comm. Algebra, 1999) whether or not unit-regular rings are themselves str...
A $*$-ring $R$ is called (strongly) $*$-clean if every element of $R$ is the sum of a unit and a pro...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
WOS: 000316949200005An element of a ring is called strongly clean provided that it can be written as...
A ring R is almost unit-clean provided that every element in R is equivalent to the sum of an idempo...
AbstractA ring R is called strongly clean if every element of R is the sum of a unit and an idempote...
Cataloged from PDF version of article.An element of a ring R is strongly P -clean provided that ...
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...
Abstract. A ring R is a strongly clean ring if every element in R is the sum of an idempotent and a ...
Let R be an associative ring with identity 1 ≠ 0. An element a ∈ R is called clean if there exists ...
AbstractAn element in a ring R is said to be clean (respectively unit-regular) if it is the sum (res...
AbstractAn element of a ring R with identity is called strongly clean if it is the sum of an idempot...
Abstract. Let R be an associative ring with unity. An element a ∈ R is said to be r-clean if a = e+r...
summary:Let $R$ be an associative unital ring and let $a\in R$ be a strongly nil clean element. We i...
It was asked by Nicholson (Comm. Algebra, 1999) whether or not unit-regular rings are themselves str...
A $*$-ring $R$ is called (strongly) $*$-clean if every element of $R$ is the sum of a unit and a pro...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
WOS: 000316949200005An element of a ring is called strongly clean provided that it can be written as...
A ring R is almost unit-clean provided that every element in R is equivalent to the sum of an idempo...
AbstractA ring R is called strongly clean if every element of R is the sum of a unit and an idempote...
Cataloged from PDF version of article.An element of a ring R is strongly P -clean provided that ...
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...
Abstract. A ring R is a strongly clean ring if every element in R is the sum of an idempotent and a ...
Let R be an associative ring with identity 1 ≠ 0. An element a ∈ R is called clean if there exists ...
AbstractAn element in a ring R is said to be clean (respectively unit-regular) if it is the sum (res...
AbstractAn element of a ring R with identity is called strongly clean if it is the sum of an idempot...
Abstract. Let R be an associative ring with unity. An element a ∈ R is said to be r-clean if a = e+r...
summary:Let $R$ be an associative unital ring and let $a\in R$ be a strongly nil clean element. We i...
It was asked by Nicholson (Comm. Algebra, 1999) whether or not unit-regular rings are themselves str...