A Zariski Topology for Semimodules

Shahabaddin Ebrahimi Atani, Reza Ebrahimi Atani, Unsal Tekir

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.

Keywords

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

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