Geodesic
On subsemimodules of semimodules
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2010), pp. 20-30 
Reza Ebrahim Atani; Shahabaddin Ebrahimi Atani. On subsemimodules of semimodules. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2010), pp. 20-30. http://geodesic.mathdoc.fr/item/BASM_2010_2_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $R$ 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.

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