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Homomorphisms of Product Semigroups

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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
Publication statusPublished - Apr 2022

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

    Research areas

  • decomposition, homomorphism, product semigroup, Semigroup

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