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| Ultima descărcare din IBN: 2024-04-13 15:59 |
 SM ISO690:2012EBRAHIMIATANI, Reza, ATANI, Shahabaddin Ebrahimi. On subsemimodules of semimodules. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, nr. 2(63), pp. 20-30. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(63) / 2010 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 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 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. |
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