Let 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
A clean ring is one in which every element is a sum of an idempotent and a unit. It is shown that ev...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
WOS: 000316949200005An element of a ring is called strongly clean provided that it can be written as...
AbstractLet R be a commutative ring with identity. R is called clean (respectively, almost clean) if...
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...
A ring R is almost unit-clean provided that every element in R is equivalent to the sum of an idempo...
AbstractAn element in a ring R is said to be clean (respectively unit-regular) if it is the sum (res...
WOS: 000475671300010A ring R is almost unit-clean provided that every element in R is equivalent to ...
summary:An element in a ring is clean (or, unit-regular) if it is the sum (or, the product) of an id...
Abstract. Let R be an associative ring with unity. An element a ∈ R is said to be r-clean if a = e+r...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
Abstract. A ring R is a strongly clean ring if every element in R is the sum of an idempotent and a ...
Abstract. All rings considered are commutative with unity. In this paper, It is proved that the amal...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
A clean ring is one in which every element is a sum of an idempotent and a unit. It is shown that ev...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
WOS: 000316949200005An element of a ring is called strongly clean provided that it can be written as...
AbstractLet R be a commutative ring with identity. R is called clean (respectively, almost clean) if...
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...
A ring R is almost unit-clean provided that every element in R is equivalent to the sum of an idempo...
AbstractAn element in a ring R is said to be clean (respectively unit-regular) if it is the sum (res...
WOS: 000475671300010A ring R is almost unit-clean provided that every element in R is equivalent to ...
summary:An element in a ring is clean (or, unit-regular) if it is the sum (or, the product) of an id...
Abstract. Let R be an associative ring with unity. An element a ∈ R is said to be r-clean if a = e+r...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
Abstract. A ring R is a strongly clean ring if every element in R is the sum of an idempotent and a ...
Abstract. All rings considered are commutative with unity. In this paper, It is proved that the amal...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
A clean ring is one in which every element is a sum of an idempotent and a unit. It is shown that ev...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
WOS: 000316949200005An element of a ring is called strongly clean provided that it can be written as...
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