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arXiv · 2302.02393

Generalized rigid modules and their polynomial extensions

Mohamed Louzari·Armando Reyes
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Abstract

Let $R$ be a ring with unity, $\sigma$ an endomorphism of $R$ and $M_R$ a right $R$-module. In this paper, we continue studding $\sigma$-rigid modules that were introduced by Gunner et al. \cite{generalized/rigid}. We give some results on $\sigma$-rigid modules and related concepts. Also, we study the transfer of $\sigma$-rigidness from a module $M_R$ to its extensions, as triangular matrix modules and polynomial modules.

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Mohamed Louzari, Armando Reyes. 2023-02-05. Generalized rigid modules and their polynomial extensions. https://doi.org/10.1007/978-3-030-35256-1_8

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