English

Gorenstein flat dimension of complexes

Commutative Algebra 2010-02-10 v1

Abstract

We define a notion of Gorenstein flat dimension for unbounded complexes over left GF-closed rings. Over Gorenstein rings we introduce a notion of Gorenstein cohomology for complexes; we also define a generalized Tate cohomology for complexes over Gorenstein rings, and we show that there is a close connection between the absolute, the Gorenstein and the generalized Tate cohomology.

Keywords

Cite

@article{arxiv.1002.1753,
  title  = {Gorenstein flat dimension of complexes},
  author = {Alina Iacob},
  journal= {arXiv preprint arXiv:1002.1753},
  year   = {2010}
}

Comments

to appear in J. Math. Kyoto Univ

R2 v1 2026-06-21T14:44:51.628Z