Frontiers of Mathematics in China >

2016 , Vol. 11 >Issue 2: 497 - 508

DOI: https://doi.org/10.1007/s11464-015-0448-0

RESEARCH ARTICLE

Free involutive Hom-semigroups and Hom-associative algebras

  • Shanghua ZHENG 1 ,
  • Li GUO , 1,2
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  • 1. Department of Mathematics, Jiangxi Normal University, Nanchang 330022, China
  • 2. Department of Mathematics and Computer Science, Rutgers University, Newark, NJ 07102, USA

Received date: 15 Nov 2014

Accepted date: 04 Jan 2015

Published date: 18 Apr 2016

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Hom-semigroup; Hom-algebra; involution; free object; bracketed words

Cite this article

Shanghua ZHENG , Li GUO . Free involutive Hom-semigroups and Hom-associative algebras[J]. Frontiers of Mathematics in China, 2016 , 11(2) : 497 -508 . DOI: 10.1007/s11464-015-0448-0

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