On the second spectrum of a module (II)

Details On the second spectrum of a module (II) On the second spectrum of a module (II)

2012-02-26

arxiv.org/abs/1202.5782v1

Mathematics

Commutative Algebra

Scientific paper

Let $R$ be a commutative ring and $M$ an $R$-module. Let $Spec^s(M)$ be the the collection of all second submodules of $M$. In this article, we consider a new topology on $Spec^s(M)$, called the second classical Zariski topology, and investigate the interplay between the module theoretic properties of $M$ and the topological properties of $Spec^s(M)$. Moreover, we study $Spec^s(M)$ from point of view of spectral space.

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