Semigroups and their topologies arising from Green's left quasiorder

Semigroups and their topologies arising from Green's left quasiorder

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...

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Bibliographic Details
Main Author: Bettina Richmond
Format: Article
Language:English
Published: Universitat Politècnica de València 2008-10-01
Series:Applied General Topology
Subjects:
Green’s quasiorder
Semigroup
Principal topology
Specialization topology
Specialization quasiorder
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1795

Internet

http://polipapers.upv.es/index.php/AGT/article/view/1795

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