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Factorizable inverse monoids
Citation
FitzGerald, DG, Factorizable inverse monoids, Semigroup Forum, 80, (3) pp. 484-509. ISSN 0037-1912 (2010) [Refereed Article]
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Copyright Statement
The original publication is available at www.springerlink.com
DOI: doi: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 Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | Factorizable inverse monoid - Group action - Coset monoid - Reflection monoid |
| Research Division: | Mathematical Sciences |
| Research Group: | Pure mathematics |
| Research Field: | Algebra and number theory |
| Objective Division: | Education and Training |
| Objective Group: | Schools and learning environments |
| Objective Field: | Workforce transition and employment |
| UTAS Author: | FitzGerald, DG (Dr Des FitzGerald) |
| ID Code: | 64856 |
| Year Published: | 2010 |
| Web of Science® Times Cited: | 9 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2010-09-08 |
| Last Modified: | 2011-03-23 |
| Downloads: | 2 View Download Statistics |
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