ON 2-ABSORBING IDEALS IN COMMUTATIVE Γ− SEMIRINGS

  • Hitesh Kumar Ranote Department of Mathematics, Maharaja Agarsen University, Baddi- 174103, Himachal Pradesh, INDIA
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.11
Keywords: k-ideals, strong ideal, Q-ideal, 2-absorbing ideals, weakly 2-absorbing ideals.

Abstract

In this paper, our aim is to study the results of 2-absorbing ideals and weakly 2-absorbing ideals in a commutative Γ− semirings which is a generalization of prime ideals of a commutative Γ− 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 Γ− semiring.
Published
2023-12-30
Issue
Vol 19 No 03 (2023): South East Asian J. of Mathematics and Mathematical Sciences
Section
Research Article

Copyright (c) 2023 South East Asian J. of Mathematics and Mathematical Sciences

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