The Journal of the Indian Mathematical Society

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On 2-Absorbing Subtractive Ideals in Semirings


Affiliations
1 Department of Mathematics, M. J. College, Jalgaon-425002, India
     

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In this paper, (1) a characterization of 2-absorbing ideals in the semiring (Z+0 , gcd, lcm) is obtained; (2) some characterizations of 2-absorbing subtractive ideals in a semiring R are investigated; (3) the 2-absorbing avoidance theorem for subtractive ideals of a semiring R is obtained.

Keywords

Semiring, Subtractive Ideal, Prime Ideal, 2-Absorbing Ideal, Irreducible Ideal, Finitely Generated Ideal.
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  • On 2-Absorbing Subtractive Ideals in Semirings

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Authors

J. N. Chaudhari
Department of Mathematics, M. J. College, Jalgaon-425002, India
K. J. Ingale
Department of Mathematics, M. J. College, Jalgaon-425002, India

Abstract


In this paper, (1) a characterization of 2-absorbing ideals in the semiring (Z+0 , gcd, lcm) is obtained; (2) some characterizations of 2-absorbing subtractive ideals in a semiring R are investigated; (3) the 2-absorbing avoidance theorem for subtractive ideals of a semiring R is obtained.

Keywords


Semiring, Subtractive Ideal, Prime Ideal, 2-Absorbing Ideal, Irreducible Ideal, Finitely Generated Ideal.