Quasi-prime submodules and developed Zariski topology

Details Quasi-prime submodules and developed Zariski topology Quasi-prime submodules and developed Zariski topology

2011-05-23

arxiv.org/abs/1105.4496v1

Mathematics

Commutative Algebra

Scientific paper

Let $R$ be a commutative ring with nonzero identity and $M$ be an $R$-module. Quasi-prime submodules of $M$ and the developed Zariski topology on $q\Spec(M)$ are introduced. We also, investigate the relationship between the algebraic properties of $M$ and the topological properties of $q\Spec(M)$. Modules whose developed Zariski topology is respectively $T_0$, irreducible or Noetherian are studied, and several characterizations of such modules are given.

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