Generalized rigid modules and their polynomial extensions

Mohamed Louzari; Armando Reyes

doi:10.1007/978-3-030-35256-1_8

paper

Generalized rigid modules and their polynomial extensions

arXiv:2302.02393 · doi:10.1007/978-3-030-35256-1_8

Abstract

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