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IMCS/Publications/BASM/Issues/BASM n.2 (63), 2010/

On subsemimodules of semimodules

Authors: Reza Ebrahimi Atani, Shahabaddin Ebrahimi Atani

Abstract

P. J. Allen [1] introduced the notion of a Q-ideal and a construction process was presented by which one can build the quotient structure of a semiring modulo a Q-ideal. Here we introduce the notion of QM-subsemimodule N of a semimodule M over a semiring Q and construct the factor semimodule M/N. It is shown that this notion inherits most of the essential properties of the factor modules over a ring.

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