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Factorizable inverse monoids
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FitzGerald, DG 2010
, 'Factorizable inverse monoids'
, Semigroup Forum, vol. 80, no. 3
, pp. 484-509
, doi: https://doi.org/10.1007/s00233-009-9177-6.
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Official URL: http://dx.doi.org/10.1007/s00233-009-9177-6
Abstract
Factorizable inverse monoids constitute the algebraic theory of those partial symmetries which are restrictions of automorphisms; the formal definition is that each element is the product of an idempotent and an invertible. This class of monoids has theoretical significance, and includes concrete instances which are important in various contexts. This survey is organised around the idea of group acts on semilattices and contains a large range of examples. Topics also include methods for construction of factorizable inverse monoids, and aspects of their inner structure, morphisms, and presentations.
| Item Type: | Article |
|---|---|
| Authors/Creators: | FitzGerald, DG |
| Keywords: | Factorizable inverse monoid - Group action - Coset monoid - Reflection monoid |
| Journal or Publication Title: | Semigroup Forum |
| ISSN: | 0037-1912 |
| DOI / ID Number: | https://doi.org/10.1007/s00233-009-9177-6 |
| Additional Information: | The original publication is available at www.springerlink.com |
| Item Statistics: | View statistics for this item |
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Factorizable inverse monoids. (deposited 30 Aug 2010 01:06)
- Factorizable inverse monoids. (deposited 29 Jul 2009 05:18) [Currently Displayed]
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