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Free involutive Hom-semigroups and Hom-associative algebras |
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| Authors: | Shanghua Zheng Li Guo |
| Institution: | 1. Department of Mathematics, Jiangxi Normal University, Nanchang 330022, China2. Department of Mathematics and Computer Science, Rutgers University, Newark, NJ 07102, USA |
| 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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