A Zariski Topology for Modules

2010/07/19 by Jawad Abuhlail, Abuhlail, Jawad · 1 citation
Mathematics · #13C13 #16N20 #16N80 (13C05 #54B99) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1007.3149

openalex publication_date 2010/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a duo module M over an associative (not necessarily commutative) ring R, a Zariski topology is defined on the spectrum Spec^fp(M) of \it fully prime R-submodules of M. We investigate, in particular, the interplay between the properties of this space and the algebraic properties of the module under consideration.

Citations

• Prime and coprime modules

Cited by

• Lower Separation Axioms for X-top Lattices

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