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Factorizable inverse monoids


FitzGerald, DG, Factorizable inverse monoids, Semigroup Forum, 80, (3) pp. 484-509. ISSN 0037-1912 (2010) [Refereed Article]

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DOI: doi:10.1007/s00233-009-9177-6


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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