Free involutive Hom-semigroups and Hom-associative algebras

Published 17 Nov 2014 in math.RA and math.GR | (1411.4664v1)

Abstract: In this paper 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.

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