Some results on 2-absorbing ideals in commutative semirings

Abstract

In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero iden- tity which is a generalization of prime ideals of a commutative semiring and prove number of results related to the same. We also use these con- cepts to prove some results of Q-ideals in terms of subtractive extension of ideals in a commutative semiring.