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Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2011 / Cilt: 4 - Sayı: 3

A Zariski topology for semimodules

Ünsal TEKİR, Reza Ebrahimi ATANI, Shahabaddin Ebrahimi ATANI

Pages
251–265
DOI
—

Abstract

Given a very strong multiplication semimidule M over a commutative semiring R, a Zariski topology is defined on the spectrum $Spec _k$(M) of prime k-subsemimodules of M. The properties and possible structures of this topology are studied. 2000 Mathematics Subject Classifications: 16Y60