A finiteness condition for semigroups which generalizes Green-Rees' theorem

Autor: Brunetto Piochi
Rok vydání: 1995
Předmět:
Zdroj: Semigroup Forum. 50:301-306
ISSN: 1432-2137
0037-1912
DOI: 10.1007/bf02573527
Popis: LetS be a finitely generated semigroup. ThenS is finite if every finitely generated subgroup ofS is finite and, for some integerm≥1, for everym-tuplex 1,x 2,…x m of elements ofS there exist an integeri: 1≤i≤m and an integer ρ>1 such that:x i +1…x m (x 1 x 2…x m )ρ=x i +1…x m x 1…x m . The proof of the result is a direct generalisation of the original one by Green and Rees for the casem=1.
Databáze: OpenAIRE
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