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dc.contributor.author |
Gilbert, N.D. |
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dc.date.accessioned |
2019-06-15T20:39:59Z |
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dc.date.available |
2019-06-15T20:39:59Z |
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dc.date.issued |
2011 |
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dc.identifier.citation |
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. |
uk_UA |
dc.identifier.issn |
1726-3255 |
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dc.identifier.other |
2000 Mathematics Subject Classification:20M18,20M50,18G20. |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/154764 |
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dc.description.abstract |
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 augmentation module. The constructions are analogues of the first steps in the Gruenberg resolution obtained from a group presentation. We give a new proof of the characterization of inverse monoids of cohomological dimension zero, and find a class of examples of inverse semigroups of cohomological dimension one. |
uk_UA |
dc.description.sponsorship |
I am very grateful for constructive email discussions with Benjamin Steinberg andwith Jonathon Funk about this work. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
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dc.title |
Derivations and relation modules for inverse semigroups |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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