Free involutive Hom-semigroups and Hom-associative algebras  

作　　者：Shanghua ZHENG Li GUO 

机构地区：[1]Department of Mathematics, Jiangxi Normal University, Nanchang 330022, China [2]Department of Mathematics and Computer Science, Rutgers University, Newark,NJ 07102, USA

出　　处：《Frontiers of Mathematics in China》2016年第2期497-508,共12页中国高等学校学术文摘·数学（英文）

基　　金：This work was supported by the National Natural Science Foundation of China （Grant No. 11371178） and the National Science Foundation of US （Grant No. DMS 1001855）.

摘　　要：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 Horn-associative algebras generated by a set under the same conditions for the unary operation.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 Horn-associative algebras generated by a set under the same conditions for the unary operation.

关 键 词：Hom-semigroup Horn-algebra INVOLUTION free object bracketedwords 

分 类 号：O153.3[理学—数学] TB482.2[理学—基础数学]