We study rings over which every matrix is the sum of two tripotents. In particular, we show that every square matrix over a field F is the sum of two tripotents if and only if F is a prime field with Char(F)≤5
which permits unrestricted use, distribution, and reproduction in any medium, provided the original ...
<p>An element of a ring $R$ is called nil-clean if it is the sum of an idempotent and a nilpotent el...
AbstractIt is shown that every n×n matrix over a field of characteristic zero is a linear combinatio...
AbstractThe problem to express an n×n matrix A as the sum of two square-zero matrices was first inve...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...
AbstractIt is shown that a square matrix A over an arbitrary field F is a sum of two diagonalizable ...
Let A be an algebra. An element A∈A is called tripotent if A3=A. We study the questions: if both A a...
Let A be an algebra. An element A∈A is called tripotent if A3=A. We study the questions: if both A a...
Let A be an algebra. An element A∈A is called tripotent if A3=A. We study the questions: if both A a...
AbstractWe study which square matrices are sums of idempotents over a field of positive characterist...
AbstractIt is shown that every square matrix over a characteristic-two field with at least four elem...
summary:We present new characterizations of the rings for which every element is a sum of two tripot...
Let A be an algebra. An element A∈A is called tripotent if A3=A. We study the questions: if both A a...
summary:We present new characterizations of the rings for which every element is a sum of two tripot...
AbstractIt is shown that a noncommutative simple algebra generated over a field F by two idempotents...
which permits unrestricted use, distribution, and reproduction in any medium, provided the original ...
<p>An element of a ring $R$ is called nil-clean if it is the sum of an idempotent and a nilpotent el...
AbstractIt is shown that every n×n matrix over a field of characteristic zero is a linear combinatio...
AbstractThe problem to express an n×n matrix A as the sum of two square-zero matrices was first inve...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...
AbstractIt is shown that a square matrix A over an arbitrary field F is a sum of two diagonalizable ...
Let A be an algebra. An element A∈A is called tripotent if A3=A. We study the questions: if both A a...
Let A be an algebra. An element A∈A is called tripotent if A3=A. We study the questions: if both A a...
Let A be an algebra. An element A∈A is called tripotent if A3=A. We study the questions: if both A a...
AbstractWe study which square matrices are sums of idempotents over a field of positive characterist...
AbstractIt is shown that every square matrix over a characteristic-two field with at least four elem...
summary:We present new characterizations of the rings for which every element is a sum of two tripot...
Let A be an algebra. An element A∈A is called tripotent if A3=A. We study the questions: if both A a...
summary:We present new characterizations of the rings for which every element is a sum of two tripot...
AbstractIt is shown that a noncommutative simple algebra generated over a field F by two idempotents...
which permits unrestricted use, distribution, and reproduction in any medium, provided the original ...
<p>An element of a ring $R$ is called nil-clean if it is the sum of an idempotent and a nilpotent el...
AbstractIt is shown that every n×n matrix over a field of characteristic zero is a linear combinatio...