On spectral compactness of von neumann regular rings

We characterize the spectral compactness of commutative von Neumann regular rings. We show that through a process of adjunction of identity, we can obtain the Alexandroff compactification or a star compactification of the prime spectrum of certain von Neumann regular rings.

Autores:
Rubio, Ibeth Marcela
Acosta, Lorenzo
Tipo de recurso:
Article of journal
Fecha de publicación:
2012
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42256
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42256
http://bdigital.unal.edu.co/32353/
Palabra clave:
Spectral compactness
Prime spectrum
Boolean ring
Von Neumann regular ring
Compactification
13B99
54B35
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:We characterize the spectral compactness of commutative von Neumann regular rings. We show that through a process of adjunction of identity, we can obtain the Alexandroff compactification or a star compactification of the prime spectrum of certain von Neumann regular rings.