Length functions for semigroup embeddings

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2010
• 1. Verfasser: Davis, T.C.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2010
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/154505
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Length functions for semigroup embeddings / T.C. Davis// Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 1–15. — Бібліогр.: 6 назв. — англ.

Following the work done in [O] for groups, we describe, for a given semigroup S, which functions l:S→N can be realized up to equivalence as length functions g↦|g|H by embedding S into a finitely generated semigroup H. We also, following the work done in [O2] and [OS], provide a complete description...