Formal triangular matrix ring with nil clean index 4

Authors

  • Jayanta Bhattacharyya Joya Gogoi College, Khumtai,
  • Dhiren Kumar Basnet Tezpur University

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 $Nin(R)$, is defined by $Nin(R)=\sup \{\mid \eta(a)\mid: a\in R\}$. In this article we have characterized formal triangular ring $\begin{pmatrix}A & M\\0 & B\end{pmatrix}$ with nil clean index $4$

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Published

31-12-2023

How to Cite

Bhattacharyya, J., & Basnet, D. K. . (2023). Formal triangular matrix ring with nil clean index 4. Journal of the Assam Academy of Mathematics, 13, 1–4. Retrieved from https://jaam.aamonline.org.in/ojs/index.php/j/article/view/60

Issue

Vol. 13 (2023)

Section

Original Research Articles

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Copyright (c) 2023 Author(s)

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