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Ultima descărcare din IBN: 2024-01-30 12:38 |
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519.6+512.533+512.56 (1) |
Вычислительная математика. Численный анализ (123) |
Алгебра (400) |
SM ISO690:2012 NAZARI, Rafieh Razavi, GHALANDARZADEH, Shaban. On fully idempotent semimodules. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 1(89), pp. 39-51. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(89) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 519.6+512.533+512.56 | ||||||
MSC 2010: 16Y60. | ||||||
Pag. 39-51 | ||||||
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Rezumat | ||||||
Let S be a semiring and M an S-semimodule. Let N and L be subsemimodules of M. Set N ⋆ L := HomS(M,L)N = P{ϕ(N) | ϕ ∈ HomS(M,L)}. Then N is called an idempotent subsemimodule of M, if N = N ⋆N. An S-semimodule M is called fully idempotent if every subsemimodule of M is idempotent. In this paper we study the concept of fully idempotent semimodules as a generalization of fully idempotent modules and investigate some properties of idempotent subsemimodules of multiplication semimodules. |
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Cuvinte-cheie Semiring, fully idempotent semimodule, multiplication semimodule, regular semimodule |
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