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| Ultima descărcare din IBN: 2023-02-20 13:35 |
 SM ISO690:2012EBRAHIMIATANI, Reza, ATANI, Shahabaddin Ebrahimi. Spectra of semimodules. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, nr. 3(67), pp. 15-28. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 3(67) / 2011 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 15-28 | ||||||
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| Rezumat | ||||||
The purpose of this paper is to investigate possible structures and useful
properties of prime subsemimodules of a semimodule M over a semiring R and show
various applications of the properties. The main part of this work is to introduce a new
class of semimodules over R called strong primeful R-semimodules. It is shown that
every non-zero strong primeful semimodule possesses the non-empty prime spectrum
with the surjective natural map. Also, it is proved that this class contains the family
of finitely generated R-semimodules properly.
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| Cuvinte-cheie Prime subsemimodule, primeful semimodule, strong primeful semimodule, prime spectrum. |
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