Factorizable inverse monoids |
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Authors: | D G FitzGerald |
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Institution: | 1. School of Mathematics and Physics, University of Tasmania, Private Bag 37, Hobart, 7001, Australia
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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. |
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Keywords: | |
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