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arXiv · 1712.00845

Second Representable Modules over Commutative Rings

Jawad Abuhlail·Hamzah Hroub
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Abstract

Let $R$ be a commutative ring. We investigate $R$-modules which can be written as \emph{finite} sums of {\it {second}} $R$-submodules (we call them \emph{second representable}). We provide sufficient conditions for an $R$-module $M$ 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.

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Jawad Abuhlail, Hamzah Hroub. 2017-12-03. Second Representable Modules over Commutative Rings. https://arxiv.org/abs/1712.00845

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