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arXiv · 1702.02298

Formal triangular matrix ring with nil clean index $4$

Dhiren Kumar Basnet·Jayanta Bhattacharyya
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Abstract

For an element $a \in R$, let $\eta(a)=\{e\in R\mid e^2=e\mbox{ and }a-e\in \mbox{nil}(R)\}$. The nil clean index of $R$, denoted by NinA$(R)$, is defined as Nin$(R)=\sup \{\mid \eta(a)\mid: a\in R\}$. In this article we have characterized formal triangular matrix ring $\begin{pmatrix}A & M0 & B\end{pmatrix}$ with nil clean index $4$.

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Dhiren Kumar Basnet, Jayanta Bhattacharyya. 2017-02-08. Formal triangular matrix ring with nil clean index $4$. https://arxiv.org/abs/1702.02298

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