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On graded Gorenstein injective dimension

2013/06/13 by Afsaneh Esmaeelnezhad, Esmaeelnezhad, Afsaneh, Parviz Sahandi +1
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #math.AC #msc:13A02 #msc:13D02 #msc:13D05

paper · pdf · doi:10.48550/arxiv.1306.3049

19 pages, Change proof of Lemma 4.14, Comments are wellcome

arxiv created 2013/06/16 · arxiv updated 2013/06/18

Abstract

There are nice relations between graded homological dimensions and ordinary homological dimensions. We study the Gorenstein injective dimension of a complex of graded modules denoted by ^*\Gid, and derive its properties. In particular we prove the Chouinard's like formula for ^*\Gid, and compare it with the usual Gorenstein injective dimension.

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