Quasi-prime submodules and developed Zariski topology

2011/05/23 by Hassanzadeh-Lelekaami, A. Abbasi And D.
#13A15 #13C05 #13C13 #13C99 #13E05 #13F99 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1105.4496

Abstract

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 T₀, irreducible or Noetherian are studied, and several characterizations of such modules are given.

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