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Research Article

ON 2-ABSORBING IDEALS IN COMMUTATIVE $ \Gamma- $ SEMIRINGS

H
Hitesh Kumar Ranote Department of Mathematics, Maharaja Agarsen University, Baddi - 174103, Himachal Pradesh, INDIA
Volume 19, Issue 3 Pages 115-126 December 30, 2023 180 downloads
Article overview

Abstract

In this paper, our aim is to study the results of 2-absorbing ideals and weakly 2-absorbing ideals in a commutative $ \Gamma -$ semirings which is a generalization of prime ideals of a commutative $ \Gamma -$ semirings. Finally, we prove a characterization theorem for 2-absorbing and weakly 2-absorbing ideals in terms of k- extension of an ideal in a commutative $ \Gamma -$ semiring.

Keywords and Phrases

k-idealsstrong idealQ-ideal2-absorbing idealsweakly 2-absorbing ideals.

AMS Subject Classification

16Y60, 46J20, 12K10.

Reference information

How to Cite

Hitesh Kumar Ranote (2023). ON 2-ABSORBING IDEALS IN COMMUTATIVE $ \Gamma- $ SEMIRINGS. South East Asian Journal of Mathematics and Mathematical Sciences, 19(3), 115-126.
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