Finite Nilpotent Semigroups of Small Coclass

DOI10.1080/00927872.2012.733986zbMath1304.20071arXiv1205.2817OpenAlexW1989848136MaRDI QIDQ5412027

Andreas Distler

Publication date: 25 April 2014

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

Full work available at URL: https://arxiv.org/abs/1205.2817

zbMATH Keywords

presentationsfinite semigroupscommutative semigroupsnilpotency classesnilpotent semigroupscoclass theory

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) General structure theory for semigroups (20M10) Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05)

Related Items (2)

Coclass theory for nilpotent semigroups via their associated algebras. ⋮ Rees quotients of numerical semigroups.

Uses Software

• GAP
• Smallsemi

Cites Work

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• The number of nilpotent semigroups of degree 3.
• Narrow Lie algebras: A coclass theory and a characterization of the Witt algebra
• Coclass theory for nilpotent semigroups via their associated algebras.
• Every one a Winner or how to Avoid Isomorphism Search when Cataloguing Combinatorial Configurations

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