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.
机构:
Islamic Azad Univ, East Tehran Branch, Dept Math, Tehran, IranIslamic Azad Univ, East Tehran Branch, Dept Math, Tehran, Iran
Salimi, Maryam
Tavasoli, Elham
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Islamic Azad Univ, East Tehran Branch, Dept Math, Tehran, IranIslamic Azad Univ, East Tehran Branch, Dept Math, Tehran, Iran
Tavasoli, Elham
Yassemi, Siamak
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Univ Tehran, Dept Math, Tehran, Iran
Inst Res Fundamental Sci IPM, Sch Math, Tehran, IranIslamic Azad Univ, East Tehran Branch, Dept Math, Tehran, Iran