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Frattini fuzzy subgroups of fuzzy groups

Department of Mathematics/statistics/computer Science, University of Agriculture, P.M.B. 2373, Makurdi, Nigeria

Department of Mathematics, Prist Deemed to Be University, Thanjavur, India

* Corresponding Author
Annals of Communications in Mathematics 2019
, 2 (1),
24-31.
https://doi.org/10.62072/acm.2019.020104
Received: |
Accepted: |
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Abstract

This paper continues the study of fuzzy group theory which has been explored over times. We propose maximal fuzzy subgroups and Frattini fuzzy subgroups of fuzzy groups as extensions of maximal subgroups and Frattini subgroups of classical groups. It is shown that every Frattini fuzzy subgroup is both characteristic and normal,
respectively. Finally, some results are established in connection to level subgroups and alpha cuts of fuzzy groups.

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Cite This Article

Frattini fuzzy subgroups of fuzzy groups.

Annals of Communications in Mathematics,

,
2 (1):
24-31.
https://doi.org/10.62072/acm.2019.020104
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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