Derivations and relation modules for inverse semigroups

We define the derivation module for a homomorphism of inverse semigroups, generalizing a construction for groups due to Crowell. For a presentation map from a free inverse semigroup, we can then define its relation module as the kernel of a canonical map from the derivation module to the augmentati...

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Bibliographic Details
Date:2011
Main Author: Gilbert, N.D.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2011
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/154764
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Derivations and relation modules for inverse semigroups / N.D. Gilbert// Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 1–19. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine