AbstractLet R be a commutative ring with identity. R is called clean (respectively, almost clean) if every element in R is a sum of an idempotent and a unit (respectively, a regular element). In this paper, we clarify conditions under which the two overrings R(x) and R〈x〉 of the ring of polynomials R[x] are (almost) clean rings
The notion of a clean ring has many variations that have been widely studied, including the sub-clas...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
AbstractAn element in a ring R is said to be clean (respectively unit-regular) if it is the sum (res...
Let R be a commutative ring with identity. R is called clean (respectively, almost clean) if every e...
A clean ring is one in which every element is a sum of an idempotent and a unit. It is shown that ev...
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...
Let R be an associative ring with identity 1 ≠ 0. An element a ∈ R is called clean if there exists ...
Abstract. Let R be an associative ring with unity. An element a ∈ R is said to be r-clean if a = e+r...
We introduce the notions of left and right cleanness and nil cleanness in rings showing their close ...
Let R be an associative ring with identity and U(R) denote the set of unites of R. An element aεR is...
A ring R is almost unit-clean provided that every element in R is equivalent to the sum of an idempo...
WOS: 000475671300010A ring R is almost unit-clean provided that every element in R is equivalent to ...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
Let A be a ring. Then A is called p-clean ring if each element in A express as the sum of an idempot...
WOS: 000406980000008An n x n matrix A over a commutative ring is strongly clean provided that it can...
The notion of a clean ring has many variations that have been widely studied, including the sub-clas...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
AbstractAn element in a ring R is said to be clean (respectively unit-regular) if it is the sum (res...
Let R be a commutative ring with identity. R is called clean (respectively, almost clean) if every e...
A clean ring is one in which every element is a sum of an idempotent and a unit. It is shown that ev...
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...
Let R be an associative ring with identity 1 ≠ 0. An element a ∈ R is called clean if there exists ...
Abstract. Let R be an associative ring with unity. An element a ∈ R is said to be r-clean if a = e+r...
We introduce the notions of left and right cleanness and nil cleanness in rings showing their close ...
Let R be an associative ring with identity and U(R) denote the set of unites of R. An element aεR is...
A ring R is almost unit-clean provided that every element in R is equivalent to the sum of an idempo...
WOS: 000475671300010A ring R is almost unit-clean provided that every element in R is equivalent to ...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
Let A be a ring. Then A is called p-clean ring if each element in A express as the sum of an idempot...
WOS: 000406980000008An n x n matrix A over a commutative ring is strongly clean provided that it can...
The notion of a clean ring has many variations that have been widely studied, including the sub-clas...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
AbstractAn element in a ring R is said to be clean (respectively unit-regular) if it is the sum (res...
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