Derivations and relation modules for inverse semigroups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Derivations and relation modules for inverse semigroups
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| Creator |
Gilbert, N.D.
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| Description |
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.
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| Date |
2019-06-15T20:39:59Z
2019-06-15T20:39:59Z 2011 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2000 Mathematics Subject Classification:20M18,20M50,18G20. http://dspace.nbuv.gov.ua/handle/123456789/154764 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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