Gabriel Dimension for Graded Rings |
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| Authors: | M. J. Asensio C. Năstăsescu B. Torrecillas |
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| Affiliation: | (1) Departamento de Algebra y Análisis Matemático, Universidad de Almería, E04120 Almería, Spain;(2) Facultatea de Matematica, University of Bucharest, Str. Academiei 14, RO-70109 Bucharest 1, Romania |
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| Abstract: | ![]()
Using techniques of localization for Grothendieck categories with a family of projective generators, we show that for a graded ring R = ⊕ σ∈G R σ with finite support if R e has Gabriel dimension then  has Gabriel dimension. Moreover, adding some lattice results, we prove that if  has Gabriel dimension then  also has Gabriel dimension. This research has been supported by grant MTM2005-3227 from MEC. |
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| Keywords: | graded ring Grothendieck categories projective generators Gabriel dimension |
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