Non trivial idempotents of the matrix rings over polynomial ring Z_{pqr}[x]

Gaurav Mittal

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arXiv · 1910.06297

Non trivial idempotents of the matrix rings over polynomial ring Z_{pqr}[x]

Gaurav Mittal

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Abstract

In this paper, we study the non trivial idempotents of the $2 \times 2$ matrix ring over the polynomial ring $\mathbb{Z}_{pqr}[x]$ for distinct primes $p, q $ and $r$ greater than $3$. We have classified all the idempotents of this matrix ring into several classes such that any idempotent must belong to one of these classes. This work is extension of the work done in $[1]$.

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Gaurav Mittal. 2019-10-14. Non trivial idempotents of the matrix rings over polynomial ring Z_{pqr}[x]. https://arxiv.org/abs/1910.06297

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