Under study are the rings whose every element is a sum of a nilpotent and a q-potent that commute with one another. We describe the rings whose every element is a sum of k idempotents (for some k ∈ ℕ) and a nilpotent that commute with one another.197-20
summary:An element in a ring is clean (or, unit-regular) if it is the sum (or, the product) of an id...
An element of a ring $R$ is called nil-clean if it is the sum of an idempotent and a nilpotent eleme...
Cataloged from PDF version of article.An element of a ring R is strongly P -clean provided that ...
197-208Under study are the rings whose every element is a sum of a nilpotent and a q-potent that com...
The conditions that allow an element of an associative, unital, not necessarily commutative ring R, ...
A $*$-ring $R$ is called {\em strongly nil $*$-clean} if every element of $R$ is the sum of a projec...
summary:A $*$-ring $R$ is strongly 2-nil-$*$-clean if every element in $R$ is the sum of two project...
A ring is called m-nil clean if every element is a sum of a nilpotentand an m-potent element. We stu...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
The notion of a clean ring has many variations that have been widely studied, including the sub-clas...
We introduce the notions of left and right cleanness and nil cleanness in rings showing their close ...
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...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
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...
summary:An element in a ring is clean (or, unit-regular) if it is the sum (or, the product) of an id...
An element of a ring $R$ is called nil-clean if it is the sum of an idempotent and a nilpotent eleme...
Cataloged from PDF version of article.An element of a ring R is strongly P -clean provided that ...
197-208Under study are the rings whose every element is a sum of a nilpotent and a q-potent that com...
The conditions that allow an element of an associative, unital, not necessarily commutative ring R, ...
A $*$-ring $R$ is called {\em strongly nil $*$-clean} if every element of $R$ is the sum of a projec...
summary:A $*$-ring $R$ is strongly 2-nil-$*$-clean if every element in $R$ is the sum of two project...
A ring is called m-nil clean if every element is a sum of a nilpotentand an m-potent element. We stu...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
The notion of a clean ring has many variations that have been widely studied, including the sub-clas...
We introduce the notions of left and right cleanness and nil cleanness in rings showing their close ...
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...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
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...
summary:An element in a ring is clean (or, unit-regular) if it is the sum (or, the product) of an id...
An element of a ring $R$ is called nil-clean if it is the sum of an idempotent and a nilpotent eleme...
Cataloged from PDF version of article.An element of a ring R is strongly P -clean provided that ...
DOI
Add to ORKG