Second Representable Modules over Commutative Rings
Commutative Algebra
2017-12-05 v1 Rings and Algebras
Abstract
Let be a commutative ring. We investigate -modules which can be written as \emph{finite} sums of {\it {second}} -submodules (we call them \emph{second representable}). We provide sufficient conditions for an -module to be have a (minimal) second presentation, in particular within the class of lifting modules. Moreover, we investigate the class of (\emph{main}) \emph{second attached prime ideals} related to a module with such a presentation.
Cite
@article{arxiv.1712.00845,
title = {Second Representable Modules over Commutative Rings},
author = {Jawad Abuhlail and Hamzah Hroub},
journal= {arXiv preprint arXiv:1712.00845},
year = {2017}
}