Some results on 2-absorbing ideals in commutative semirings

• Autorzy: Kumar P. , Dubey M. K. , Sarohe P.

Identyfikatory

DOI

10.7862/rf.2015.7

• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero identity which is a generalization of prime ideals of a commutative semiring and prove number of results related to the same. We also use these concepts to prove some results of Q-ideals in terms of subtractive extension of ideals in a commutative semiring.

Słowa kluczowe

EN

semirings; ring theory; abstract algebra; subtractive ideal; 2-absorbing ideal; weakly 2-absorbing ideal; subtractive extension of an ideal; Q-ideal

PL

półpierścienie; teoria pierścieni; algebra abstrakcyjna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2015
• Tom: Vol. 38
• Strony: 77--84
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Kumar P.

• Department of Mathematics, Kirori Mal College, University of Delhi, Delhi 110007, India

autor

Dubey M. K.

• SAG, DRDO, Metcalf House, Delhi 110054, India

autor

Sarohe P.

• Department of Mathematics, Lakshmibai College, University of Delhi, Delhi 110052, India

Bibliografia

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