@article{fad97310a33b4339b2c76de782e2669b,
title = "Free involutive Hom-semigroups and Hom-associative algebras",
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-algebra, Hom-semigroup, bracketed words, free object, involution",
author = "Shanghua Zheng and Li Guo",
note = "Funding Information: We thank the contributors to this and previous Topical Issue in Mathematics and Geosciences. We thank also Birkhauser personnel, without whom this volume would not have been possible. We especially appreciate the great and generous work carried out by many reviewers in the Mathematics and Geosciences intersection field. They have worked in most of the cases in the difficult intersection of two different fields, such as Earth Sciences and Mathematics. We would like to take this opportunity to thank the Instituto de Ciencias Matem{\'a}ticas and the Institute of Geosciences for their financial and technical support in organizing the Mathematical and Geosciences Congress, and especially E. Fuentes, E. Frechilla, and A. Chac{\'o}n from ICMAT. We are also grateful to CEI Campus Moncloa (UCM-UPM) and CEI UAM-CSIC for their support. The workshop was also partially supported with funds from research projects AYA2010-17448, MTM2011-26696, SEV-2011- 0087, CGL2011-24790 and ESP2013-47780-C2-1-R of MINECO, (Spain) MTM2011-26119 of the DGISPI (Spain), the UCM Research Group MOMAT (Ref. 910480), and the ITN FIRST of the Seventh Framework Program of the European Community{\textquoteright}s (grant agreement number 238702). The editors also thank Dr. Renata Dmowska and Ganesh Priyanka for the help, suggestions, and support received during the editing of this topical issue. Publisher Copyright: {\textcopyright} 2015, Higher Education Press and Springer-Verlag Berlin Heidelberg.",
year = "2016",
month = apr,
day = "1",
doi = "10.1007/s11464-015-0448-0",
language = "English (US)",
volume = "11",
pages = "497--508",
journal = "Frontiers of Mathematics in China",
issn = "1673-3452",
publisher = "Higher Education Press",
number = "2",
}