Uniformly 2-absorbing primary ideals of commutative rings

Abstract

In this study, we introduce the concept of uniformly 2-absorbing primary ideals of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absorbing primary ideals of commutative rings. Then we investigate some properties of uniformly 2-absorbing primary ideals of commutative rings with examples. Also, we investigate a specific kind of uniformly 2-absorbing primary ideals by the name of special 2-absorbing primary ideals.