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Semigroup algebra in the Stone-Cech compactification of discrete semigroups

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Author(s):
Matheus Koveroff Bellini
Total Authors: 1
Document type: Master's Dissertation
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI)
Defense date:
Examining board members:
Artur Hideyuki Tomita; Leandro Fiorini Aurichi; Vladimir Pestov
Advisor: Artur Hideyuki Tomita
Abstract

Given a semigroup S and its discrete topology, it is possible to extend its operation to its Stone-Cech compactification beta(S) so that it is right-continuous. Several algebraic properties such as cancellativity, commutativity annd being a group influence topological-algebraic properties of beta(S). Most especially, the set of natural numbers with addition and/or multiplication is explored: results such as the existence of 2^c minimal left ideals or of decreasing chains of idempotents are shown and their consequences analysed. (AU)

FAPESP's process: 15/19857-4 - Semigroup algebra in the Stone-Cech compactification of a discrete semigroup
Grantee:Matheus Koveroff Bellini
Support Opportunities: Scholarships in Brazil - Master