Аннотация:
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".