On subsemimodules of semimodules
Reza Ebrahimi Atani, Shahabaddin Ebrahimi Atani · 2010
P.J.Allen (1) introduced the notion of a Q-ideal and a construction pro- cess 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 R 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.