REDEFINED GENERALIZED FUZZY R-SUBGROUPS OF NEAR-RINGS

Authors

  • Fen Luo Hubei University for Nationalities - Department of Mathematics
  • Jianming Zhan Hubei University for Nationalities - Department of Mathematics

Keywords:

near-ring, prime (semiprime) R-subgroup, (∈, ∈ ∨ q)-fuzzy R-subgroup, (\(\bar{∈}\), (\(\bar{∈}\) ∨ (\(\bar{q}\))-fuzzy R-subgroup

Abstract

By means of a kind of new idea, we redefine generalized fuzzy R-subgroups of a near-ring and investigate some of its related properties.  Some new characterizations are also given.  In particular, we introduce the concepts of strong prime (semiprime) (∈, ∈ ∨ q)-fuzzy R-subgroups of near-rings, and discuss the relationship between strong prime (resp., semiprime) (∈, ∈ ∨ q)-fuzzy R-subgroups and prime (resp., semiprime) (∈, ∈ ∨ q)-fuzzy R-subgroups of near-rings.

Cover of n°30 Italian Journal of Pure and Applied Mathematics

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Published

2013-05-24

How to Cite

Luo, F., & Zhan, J. (2013). REDEFINED GENERALIZED FUZZY R-SUBGROUPS OF NEAR-RINGS. Italian Journal of Pure and Applied Mathematics, 30, 33–42. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6118

Issue

N°30 - May 2013

Section

Articoli - Forum Editrice

License

Copyright (c) 2013 Fen Luo, Jianming Zhan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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