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 Q
M-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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