| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 729 9 |
| Ultima descărcare din IBN: 2023-04-20 10:05 |
| Căutarea după subiecte similare conform CZU |
| 512.55+517.986 (2) |
| Algebră (410) |
| Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
 SM ISO690:2012DUBEY, ManishKant, SAROHE, Poonam. On 2-absorbing Primary Subsemimodules over Commutative Semirings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, nr. 2(78), pp. 27-35. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2(78) / 2015 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 512.55+517.986 | ||||||
| Pag. 27-35 | ||||||
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| Rezumat | ||||||
In this paper, we define 2-absorbing primary subsemimodules of a semi- module M over a commutative semiring S with 1 6= 0 which is a generalization of primary subsemimodules of semimodules. A proper subsemimodule N of a semimod- ule M is said to be a 2-absorbing primary subsemimodule of M if abm ∈ N implies ab ∈ p(N : M) or am ∈ N or bm ∈ N for some a, b ∈ S and m ∈ M. It is proved that if K is a subtractive subsemimodule of M and p(K : M) is a subtrac- tive ideal of S, then K is a 2-absorbing primary subsemimodule of M if and only if whenever IJN ⊆ K for some ideals I, J of S and a subsemimodule N of M, then IJ ⊆ p(K : M) or IN ⊆ K or JN ⊆ K. In this paper, we prove a number of results concerning 2-absorbing primary subsemimodules. |
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| Cuvinte-cheie semimodule, subtractive subsemimodule, Q-subsemimodule, 2-absorbing primary subsemimodule |
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