REDEFINED GENERALIZED FUZZY R-SUBGROUPS OF NEAR-RINGS

Fen Luo; Jianming Zhan

REDEFINED GENERALIZED FUZZY R-SUBGROUPS OF NEAR-RINGS

Autori

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

Parole chiave:

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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Pubblicato

2013-05-24

Come citare

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