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Revista Colombiana de Matemáticas
versión impresa ISSN 0034-7426
Rev.colomb.mat. v.46 n.1 Bogotá ene./jun. 2012
1Universidad Nacional de Colombia, Bogotá, Colombia. Email: imrubiop@unal.edu.co
2Universidad Nacional de Colombia, Bogotá, Colombia. Email: lmacostag@unal.edu.co
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.
Key words: Spectral compactness, Prime spectrum, Boolean ring, VonNeumann regular ring, Compactification.
2000 Mathematics Subject Classification: 13B99, 54B35.
Caracterizamos la compacidad espectral de los anillos regulares de von Neumann conmutativos. Mostramos que a través de un proceso de adjunción de unidad, podemos obtener la compactación de Alexandroff o una compactación estelar del espectro primo de ciertos anillos regulares de von Neumann.
Palabras clave: Compacidad espectral, espectro primo, anillo de Boole, anillo regular de von Neumann, compactación.
Texto completo disponible en PDF
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv46n1a06,
AUTHOR = {Rubio, Ibeth Marcela and Acosta, Lorenzo},
TITLE = {{On Spectral Compactness of Von Neumann Regular Rings}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2012},
volume = {46},
number = {1},
pages = {81--95}
}