摘要
当它的 unary 操作是趋于增加的并且是复杂物时，我们构造免费 Hom-semigroups。我们建设的方法由括的词。作为后果，我们获得一个集合为 unary 操作在一样的条件下面产生的免费 Hom 联合的代数学。
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.
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）.
