On graded Gorenstein injective dimension

Afsaneh Esmaeelnezhad; Parviz Sahandi

On graded Gorenstein injective dimension

Commutative Algebra 2013-06-18 v2

Authors: Afsaneh Esmaeelnezhad , Parviz Sahandi

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.

Keywords

gorenstein rings and modules

Cite

@article{arxiv.1306.3049,
  title  = {On graded Gorenstein injective dimension},
  author = {Afsaneh Esmaeelnezhad and Parviz Sahandi},
  journal= {arXiv preprint arXiv:1306.3049},
  year   = {2013}
}

Comments

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

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