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

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.