Classifying a class of the fuzzy subgroups of the alternating groups A(n)

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DC Field	Value	Language
dc.contributor.author	Ogiugo, M. E.	-
dc.contributor.author	EniOluwafe, M.	-
dc.date.accessioned	2023-02-10T09:15:52Z	-
dc.date.available	2023-02-10T09:15:52Z	-
dc.date.issued	2017	-
dc.identifier.issn	1608-9324	-
dc.identifier.other	ui_art_ogiugo_classifying_2017	-
dc.identifier.other	African Journal of Pure and Applied Mathematics 4(1), pp. 27-33	-
dc.identifier.uri	http://ir.library.ui.edu.ng/handle/123456789/7910	-
dc.description.abstract	The aim of this paper is to classify the fuzzy subgroups of the alternating group. First, an equivalence relation on *the set of all fuzzy subgroups of a group G is defined. Without any equivalence relation on fuzzy subgroups of group G, the number of fuzzy subgroups is infinite, even for the trivial group. Explicit formulae for the number of distinct fuzzy subgroup of finite alternating group are obtained in the particular case n = 5. Some inequalities satisfied by this number are also established for n≥ 5.	en_US
dc.language.iso	en	en_US
dc.subject	Fuzzy subgroups	en_US
dc.subject	Chains of subgroups	en_US
dc.subject	Maximal chains of subgroups	en_US
dc.subject	Alternating groups	en_US
dc.subject	Symmetric groups	en_US
dc.subject	Recurrence relations	en_US
dc.title	Classifying a class of the fuzzy subgroups of the alternating groups A(n)	en_US
dc.type	Article	en_US
Appears in Collections:	scholarly works

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