2-Absorbing Semiprimary Fuzzy Ideal of Commutative Rings

Year 2019, , 193 - 197, 26.12.2019

Deniz Sönmez , Gürsel Yeşilot , Serkan Onar , Bayram Ali Ersoy

https://doi.org/10.33187/jmsm.588093

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

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