Characterization of $2\times 2$ nil-clean matrices over integral domains
Let $R$ be any ring with identity. An element $a \in R$ is called nil-clean, if $a=e+n$ where $e$ is an idempotent element and $n$ is a nil-potent element. In this paper we give necessary and sufficient conditions for a $2\times 2$ matrix over an integral domain $R$ to be nil-clean.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Yildiz Technical University
2018-10-01
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| Series: | Journal of Algebra Combinatorics Discrete Structures and Applications |
| Online Access: | http://jacodesmath.com/index.php/jacodesmath/article/view/229 |