Title : ( On the Gorenstein injective dimension and Bass formula )
Authors: Fahimeh Khoshahang Ghasr ,
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Abstract
In this paper, we compare Krull dimension, Gorenstein injective dimension and injective dimension of a module in several cases. In fact, we establish some generalizations of the Bass formula. To this end, we generalize the Grothendieck non-vanishing theorem to a class of modules larger than finitely generated modules.
Keywords
, Gorenstein injective dimension, Krull dimension, Bass formula, Local cohomology module.
@article{paperid:1009559,
author = {Khoshahang Ghasr, Fahimeh},
title = {On the Gorenstein injective dimension and Bass formula},
journal = {Archiv der Mathematik},
year = {2008},
month = {October},
issn = {0003-889X},
pages = {18--23},
numpages = {5},
keywords = {Gorenstein injective dimension; Krull dimension; Bass formula;
Local cohomology module.},
}
%0 Journal Article
%T On the Gorenstein injective dimension and Bass formula
%A Khoshahang Ghasr, Fahimeh
%J Archiv der Mathematik
%@ 0003-889X
%D 2008
