Homomorphisms of Product Semigroups

Henrik Stetkær*

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

Abstract

Let S1, ⋯ , SN and R be semigroups. For homomorphisms F: S1× ⋯ × SN→ R we derive sufficient conditions for existence and uniqueness of homomorphisms Fn: Sn→ R, n= 1 , ⋯ , N, such that F(s1, ⋯ , sN) = F1(s1) ⋯ FN(sN) for all s1∈ S1, ⋯ , sN∈ SN.

Original languageEnglish
Article number60
JournalResults in Mathematics
Volume77
Issue2
ISSN1422-6383
DOIs
Publication statusPublished - Apr 2022

Keywords

  • decomposition
  • homomorphism
  • product semigroup
  • Semigroup

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