Free involutive Hom-semigroups and Hom-associative algebras

Shanghua Zheng, Li Guo

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)497-508
Number of pages12
JournalFrontiers of Mathematics in China
Issue number2
StatePublished - Apr 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)


  • Hom-algebra
  • Hom-semigroup
  • bracketed words
  • free object
  • involution


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