The Journal of the Indian Mathematical Society

3-Absorbing Principal T-Ideals in the Ternary Semiring of Non-positive Integers


Affiliations

  • M. J. College, Department of Mathematics, Jalgaon, 425002, India

Abstract

Since the product of even number of elements of ternary semiring S may not be element of S, the concept of 2-absorbing ideal in S can not be defined. In this paper, we introduce the concept of 3-absorbing ideals in a commutative ternary semiring with identity element and obtain characterizations of 3-absorbing principal ideals and 3-absorbing principal T-ideals in the ternary semiring of non-positive integers.

Keywords

Ternary Semiring, Prime Ideal, 3-absorbing Ideal, Finitely Generated Ideal, T-ideal.

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