ROUGH FUZZY n-ABSORBING (n-ABSORBING PRIMARY) IDEAL IN COMMUTATIVE RINGS

Authors

  • Bijan Davvaz Yazd University - Department of Mathematics
  • Brahim Fahid Mohammed V University - Department of Mathematics

Keywords:

fuzzy set, rough set, lower approximation, upper approximation, ring, ideal, prime ideal, primary ideal, n-absorbing ideal, n-absorbing primary ideal, fuzzy ideal

Abstract

In this paper, we introduce the notions of rough n-absorbing (n-absorbing primary) ideals and rough fuzzy n-absorbing (n-absorbing primary) ideals in a ring, and give some properties of such ideals.  Also, we discuss the relations between the upper and lower rough n-absorbing (n-absorbing primary) ideals and the upper and lower approximations of their homomorphism images.

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Published

2016-07-29

How to Cite

Davvaz, B., & Fahid, B. (2016). ROUGH FUZZY n-ABSORBING (n-ABSORBING PRIMARY) IDEAL IN COMMUTATIVE RINGS. Italian Journal of Pure and Applied Mathematics, 36, 473–482. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6605

Issue

Section

Articoli - Forum Editrice

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