Geodesic
On subsemimodules of semimodules
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2010), pp. 20-30

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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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     author = {Reza Ebrahim Atani and Shahabaddin Ebrahimi Atani},
     title = {On subsemimodules of semimodules},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {20--30},
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     number = {2},
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}
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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/