A finiteness condition for semigroups generalizing a theorem of Hotzel

DOI10.1016/0021-8693(91)90064-FzbMath0741.20038OpenAlexW2041856676MaRDI QIDQ1173706

Stefano Varricchio, Aldo De Luca

Publication date: 25 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90064-f

zbMATH Keywords

finiteness theoremlocally finite maximal subgroupssemigroups with minimum condition on principal right ideals

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05)

Related Items (7)

Some combinatorial properties of infinite words and applications to semigroup theory ⋮ Finiteness and iteration conditions for semigroups ⋮ On noncounting regular classes ⋮ Stefano Varricchio (1960-2008) ⋮ A note on \(\omega\)-permutable semigroups ⋮ NOTES ON FINITELY GENERATED SEMIGROUPS ⋮ On finitely recognizable semigroups

Cites Work

• On the Burnside problem for semigroups
• Notes on finitely generated semigroups and pumping conditions for regular languages
• Rewriting products of group elements. I
• Permutation properties and the Fibonacci semigroup
• Some combinatorial properties of the Thue-Morse sequence and a problem in semigroups
• Factorial languages whose growth function is quadratically upper bounded
• On finiteness conditions in semigroups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• A finiteness condition for finitely generated semigroups
• A finiteness condition for finitely generated semigroups
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