Free involutive Hom-semigroups and Hom-associative algebras
arXiv:1411.4664 · doi:10.1007/s11464-015-0448-0
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.
10 pages