Free involutive Hom-semigroups and Hom-associative algebras

Abstract

We construct free Hom-semigroups when its unary operation is multiplicative and is an involution. Our method of construction is by bracketed words. As a consequence, we obtain free Hom-associative algebras generated by a set under the same conditions for the unary operation.

Keywords

Hom-semigroup / Hom-algebra / involution / free object / bracketed words

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Higher Education Press and Springer-Verlag Berlin Heidelberg