Add to ORKGAbstract. A square matrix is said to be alternating-clean if it is the sum of an alternating matrix and an invertible matrix. In this paper, we determine all alternating-clean matrices over any division ring K. If K is not commutative, all matrices are alternating-clean, with the exception of the 1 × 1 zero matrix. If K is commutative, all matrices are alternating-clean, with the exception of odd-size alternating matrices, and six special 2 × 2 matrices in the case where K is F2, the field of two elements. Similar results are obtained over semilocal rings. 1
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
Let R be an associative unital ring and not necessarily commutative. We analyzes conditions under w...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...
AbstractAn element in a ring R is said to be clean (respectively unit-regular) if it is the sum (res...
WOS: 000316949200005An element of a ring is called strongly clean provided that it can be written as...
summary:We determine when an element in a noncommutative ring is the sum of an idempotent and a radi...
summary:We determine when an element in a noncommutative ring is the sum of an idempotent and a radi...
AbstractA ring R is called strongly clean if every element of R is the sum of a unit and an idempote...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
Abstract. An element of a ring is called strongly nil clean provided that it can be written as the s...
Let K be a number field with ring of integers O. Consider the set of n x n alternating matrices with...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
An element of a ring R is called strongly J#-clean provided that it can be written as the sum of an ...
Abstract. A ring R is a strongly clean ring if every element in R is the sum of an idempotent and a ...
<p>An element of a ring $R$ is called nil-clean if it is the sum of an idempotent and a nilpotent el...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
Let R be an associative unital ring and not necessarily commutative. We analyzes conditions under w...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...
AbstractAn element in a ring R is said to be clean (respectively unit-regular) if it is the sum (res...
WOS: 000316949200005An element of a ring is called strongly clean provided that it can be written as...
summary:We determine when an element in a noncommutative ring is the sum of an idempotent and a radi...
summary:We determine when an element in a noncommutative ring is the sum of an idempotent and a radi...
AbstractA ring R is called strongly clean if every element of R is the sum of a unit and an idempote...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
Abstract. An element of a ring is called strongly nil clean provided that it can be written as the s...
Let K be a number field with ring of integers O. Consider the set of n x n alternating matrices with...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
An element of a ring R is called strongly J#-clean provided that it can be written as the sum of an ...
Abstract. A ring R is a strongly clean ring if every element in R is the sum of an idempotent and a ...
<p>An element of a ring $R$ is called nil-clean if it is the sum of an idempotent and a nilpotent el...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
Let R be an associative unital ring and not necessarily commutative. We analyzes conditions under w...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...