Semigroup Forum

, Volume 83, Issue 1, pp 65–74 | Cite as

Canonical semigroups

RESEARCH ARTICLE
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Abstract

We define abstract canonical semigroups modeled after the canonical reductive monoids associated with the canonical compactification of a group of adjoint type. It then becomes possible for us to come up with semigroups having some of the algebraic properties of monoids of Lie type (without first starting with a group).

Keywords

Canonical semigroups Monoids of Lie type Canonical compactification 
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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsNorth Carolina State UniversityRaleighUSA

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