http://dx.doi.org/10.15446/recolma.v48n1.45196
1Universidad Nacional de Colombia, Bogotá, Colombia. Email: mareyesv@unal.edu.co
The aim of the present paper is to show that, under some conditions, the uniform dimension of a ring R is the same as the uniform dimension of a skew Poincaré-Birkhoff-Witt extension built on R.
Key words: Non-commutative rings, Filtered and graded rings, PBW extensions, Uniform dimension, Nonsingular modules.
El propósito de este artículo es mostrar que bajo ciertas condiciones, la dimensión uniforme de un anillo R coincide con la dimensión uniforme de una extensión Poincaré-Birkhoff-Witt torcida de R.
Palabras clave: Anillos no conmutativos, anillos filtrados y graduados, extensiones PBW, dimensión uniforme, módulos no singulares.
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References
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv48n1a05,
AUTHOR = {Reyes, Armando},
TITLE = {{Uniform Dimension over Skew \boldsymbol{PBW} Extensions}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2014},
volume = {48},
number = {1},
pages = {79--96}
}