2-Absorbing Semiprimary Fuzzy Ideal of Commutative Rings

Authors : Deniz SÖNMEZ, Gürsel YEŞİLOT, Serkan ONAR, Bayram Ali ERSOY

Pages : 193-197

Doi:10.33187/jmsm.588093

View : 16 | Download : 8

Publication Date : 2019-12-26

Article Type : Research Paper

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.
Keywords : 2 absorbing primary fuzzy ideals, 2 absorbing semiprimary fuzzy ideals