A Hom-associative analogue of n-ary Hom-Nambu algebras - Mathematics > Rings and AlgebrasReport as inadecuate




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Abstract: It is shown that every n-ary totally Hom-associative algebra with equaltwisting maps yields an n-ary Hom-Nambu algebra via an n-ary version of thecommutator bracket. The class of n-ary totally Hom-associative algebras isshown to be closed under twisting by self-weak morphisms. Every multiplicativen-ary totally Hom-associative algebra yields a sequence of multiplicativetotally Hom-associative algebras of exponentially higher arities. Undersuitable conditions, an n-ary totally Hom-associative algebra gives ann-k-ary totally Hom-associative algebra.



Author: Donald Yau

Source: https://arxiv.org/







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