On 2-absorbing semimodules
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2020-04-12 21:34
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DUBEY, ManishKant, SAROHE, Poonam. On 2-absorbing semimodules. In: Quasigroups and Related Systems, 2013, vol. 21, nr. 2(30), pp. 175-184. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 21, Numărul 2(30) / 2013 / ISSN 1561-2848

On 2-absorbing semimodules

Pag. 175-184

Dubey ManishKant1, Sarohe Poonam2
 
1 SAG, Defence Research and Development Organisation (DRDO) Complex,
2 University of Delhi
 
 
Disponibil în IBN: 31 octombrie 2014


Rezumat

In this paper, we introduce the concept of 2-absorbing semimodules over a commutative semiring with non-zero identity which is a generalization of prime semimodules and give some characterizations related to the same. We also prove the 2-absorbing avoidance theorem for semimodules and give an application of them.

Cuvinte-cheie
Semiring, semimodule, subtractive subsemimodule