2-Absorbing Semiprimary Fuzzy Ideal of Commutative Rings

Abstract

In this work, we introduce the notion of 2-absorbing semiprimary fuzzy ideal which is a generalization of semiprimary fuzzy ideal. Let $ R $ be a ring. Then the nonconstant fuzzy ideal $ mu $ is called a 2-absorbing semiprimary fuzzy ideal if $ sqrt{mu } $ is a 2-absorbing fuzzy ideal of $ R $. Furthermore, we give some fundamental results concerning these notions.