Length functions for semigroup embeddings

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...

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Bibliographic Details
Date:2010
Main Author: Davis, T.C.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2010
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/154505
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Length functions for semigroup embeddings / T.C. Davis// Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 1–15. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine