On fully idempotent semimodules
Закрыть
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
548 3
Ultima descărcare din IBN:
2024-01-30 12:38
Căutarea după subiecte
similare conform CZU
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.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(89) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322

On fully idempotent semimodules

CZU: 519.6+512.533+512.56
MSC 2010: 16Y60.

Pag. 39-51

Nazari Rafieh Razavi, Ghalandarzadeh Shaban
 
Department of Mathematics, Shahrood University of Technology
 
 
Disponibil în IBN: 16 august 2019


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.

Cuvinte-cheie
Semiring, fully idempotent semimodule, multiplication semimodule, regular semimodule