PS-Hollow Representations of Modules over Commutative Rings
Commutative Algebra
2019-08-01 v2
Abstract
Let be a commutative ring and a non-zero -module. We introduce the class of \emph{pseudo strongly hollow submodules} (\emph{PS-hollow submodules}, for short) of . Inspired by the theory of modules with \emph{secondary representations}, we investigate modules which can be written as \emph{finite} sums of PS-hollow submodules. In particular, we provide existence and uniqueness theorems for the existence of \emph{minimal} PS-hollow strongly representations of modules over Artinian rings.
Cite
@article{arxiv.1804.06968,
title = {PS-Hollow Representations of Modules over Commutative Rings},
author = {Jawad Abuhlail and Hamza Hroub},
journal= {arXiv preprint arXiv:1804.06968},
year = {2019}
}