English

Zariski Topologies for Coprime and Second Submodules

Rings and Algebras 2011-02-04 v2 Commutative Algebra General Topology

Abstract

Let MM be a non-zero module over an associative (not necessarily commutative) ring. In this paper, we investigate the so-called \emph{second} and \emph{coprime} submodules of M.M. Moreover, we topologize the spectrum % \mathrm{Spec}^{\mathrm{s}}(M) of second submodules of MM and the spectrum % \mathrm{Spec}^{\mathrm{c}}(M) of coprime submodules of M,M, study several properties of these spaces and investigate their interplay with the algebraic properties of M.M.

Keywords

Cite

@article{arxiv.1008.4164,
  title  = {Zariski Topologies for Coprime and Second Submodules},
  author = {Jawad Abuhlail},
  journal= {arXiv preprint arXiv:1008.4164},
  year   = {2011}
}
R2 v1 2026-06-21T16:04:45.422Z