A Zariski Topology for Modules

Details A Zariski Topology for Modules A Zariski Topology for Modules

2010-07-19

arxiv.org/abs/1007.3149v1

Mathematics

Rings and Algebras

22 pages; submitted

Scientific paper

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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