Semigroups and their topologies arising from Green's left quasiorder

Bettina Richmond

Ayuda

Semigroups and their topologies arising from Green's left quasiorder

Richmond, Bettina ^[1]
1. [1] Western Kentucky University
  
  Western Kentucky University
  
  Estados Unidos
Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 9, Nº. 2, 2008, págs. 143-168
Idioma: inglés
DOI: 10.4995/agt.2008.1795
Enlaces
- Texto completo
Resumen
- Given a semigroup (S, ·), Green’s left quasiorder on S is given by a ≤ b if a = u · b for some u ϵ S1. We determine which topological spaces with five or fewer elements arise as the specialization topology from Green’s left quasiorder for an appropriate semigroup structure on the set. In the process, we exhibit semigroup structures that yield general classes of finite topological spaces, as well as general classes of topological spaces which cannot be derived from semigroup structures via Green’s left quasiorder.
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