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math.RA2020
Membership deformation of commutativity and obscure -ary algebras
Steven Duplij
A general mechanism for "breaking" commutativity in algebras is proposed: if the underlying set is taken to be not a crisp set, but rather an obscure/fuzzy set, the membership func…
math.RA2020
Graded medial -ary algebras and polyadic tensor categories
Steven Duplij
Algebraic structures in which the property of commutativity is substituted by the mediality property are introduced. We consider (associative) graded algebras and instead of almost…