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arxiv: 1411.4664 · v1 · pith:ONOZ4YTWnew · submitted 2014-11-17 · 🧮 math.RA · math.GR

Free involutive Hom-semigroups and Hom-associative algebras

classification 🧮 math.RA math.GR
keywords freealgebrashom-associativehom-semigroupsoperationunarybracketedconditions
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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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