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arXiv · 1007.3149

A Zariski Topology for Modules

Jawad Abuhlail
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Abstract

Given a duo module $M$ over an associative (not necessarily commutative) ring $R,$ a Zariski topology is defined on the spectrum $\mathrm{Spec}^{\mathrm{fp}}(M)$ 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.

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Jawad Abuhlail. 2010-07-19. A Zariski Topology for Modules. https://arxiv.org/abs/1007.3149

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