On uniformly primary hyperideals and uniformly 2-absorbing primary hyperideals

Abstract

Let R be a multiplicative hyperring.  In this paper, we introduce the concepts of uniformly primary hyperideal and uniformly 2-absorbing primary hyperideal of R, which impose a certain boundedness condition on the usual notions of primary hyperideal and 2-absorbing primary hyperideal, respectively.  We will show some properties of them.