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Journal of Discrete Mathematical Sciences and Cryptography cover

Journal of Discrete Mathematical Sciences and Cryptography

(Since 1998)
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Journal of Discrete Mathematical Sciences and Cryptography
Open Access Research Article

A connection between fuzzy Γ-hypergroups and Γ -groups

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pp. 207–214Vol. 26Issue 1February 2021DOI: 10.1080/09720529.2021.1930651 Crossmark XML
Received:
31 Oct 2020
Accepted:
30 Mar 2021
Published Online:
15 Nov 2021
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1351
Pages:
207–214

Abstract

By applying the notion of fuzzy Γ -hypergroups, we demonstrate that the defined equivalence relation ϵ is the smallest fuzzy strongly regular relation and the quotient H / ϵ* is a Γ / β* -group. Especially, the homomorphism of fuzzy Γ-hypergroups is introduced to obtain some related conclusions. Also, the functor from the category of fuzzy Γ-hypergroups is assigned to the category of fundamental Γ / β* -groups in order to show that the functor is covariant.

Keywords

Fuzzy Γ-hypergroupΓ-groupFundamental relationFundamental functor

Subject Classifications

(2010) 03E7220N2016Y80

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