Geodesic
Constructing Symmetric Equality Algebras
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 2, p. 203

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In this paper, we introduce the notion of strong fuzzy filter on hyper equality algebras and investigate some equivalence definitions of it. Then by using this notion we constructed a symmetric equality algebra and define a special form of classes. By using these, we define the concept of a fuzzy hyper congruence relation on hyper equality algebra and we prove that the quotient is made by it is an equality algebra. Also, by using a fuzzy equivalence relation on hyper equality, we introduce a fuzzy hyper congruence relation and prove that this fuzzy hyper congruence is regular and finally we prove that the quotient structure that is made by it is a symmetric hyper equality algebra.
Classification : 03G25, 06D35, 06B10
Keywords: (hyper) equality algebra, symmetric equality algebra, strong fuzzy filter, congruence relation 
Rajab Ali Borzooei; Mona Aaly Kologani; Mohammad Ali Hashemi; Elahe Mohammadzadeh. Constructing Symmetric Equality Algebras. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 2, p. 203 . http://geodesic.mathdoc.fr/item/KJM_2025_49_2_a2/
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     title = {Constructing {Symmetric} {Equality} {Algebras}},
     journal = {Kragujevac Journal of Mathematics},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_2_a2/}
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