On 2-absorbing and strongly 2-absorbing ideals of commutative semigroups

Abstract

In this paper, S denotes a commutative multiplicative semigroup with 1 and 0. A nonempty subset I of S is called an ideal of S if I satisfies the condition SI ? I. We introduce and investigate the concepts of 2-absorbing ideals and strongly 2-absorbing ideals of S. Also, we study the relationships between 2-absorbing ideals and strongly 2-absorbing ideals of S. © 2017 Elsevier B.V., All rights reserved.