A Zariski Topology for Semimodules

Authors

  • Shahabaddin Ebrahimi Atani
  • Reza Ebrahimi Atani
  • Unsal Tekir

Keywords:

Prime subsemimodule, Strong multiplication semimodule, Very strong multiplication semimodule, Prime spectrum

Abstract

Given a very strong multiplication semimidule

M over a commutative semiring R, a Zariski topology is defined on the spectrum Speck(M) of prime k-subsemimodules of M. The properties and possible structures of this topology are studied.

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Published

2011-08-09

Issue

Vol. 4 No. 3: (July 2011)

Section

Algebraic Geometry

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How to Cite

A Zariski Topology for Semimodules. (2011). European Journal of Pure and Applied Mathematics, 4(3), 251-265. https://www.ejpam.com/index.php/ejpam/article/view/1242