Gorenstein Dimensions over Some Rings of the Form $R \oplus C$
Commutative Algebra
2019-10-14 v2
Abstract
Given a semidualizing module over a commutative noetherian ring, Holm and J\o{}rgensen investigate some connections between -Gorenstein dimensions of an -complex and Gorenstein dimensions of the same complex viewed as a complex over the "trivial extension" . We generalize some of their results to a certain type of retract diagram. We also investigate some examples of such retract diagrams, namely D'Anna and Fontana's amalgamated duplication and Enescu's pseudocanonical cover.
Keywords
Cite
@article{arxiv.1408.1123,
title = {Gorenstein Dimensions over Some Rings of the Form $R \oplus C$},
author = {Pye Phyo Aung},
journal= {arXiv preprint arXiv:1408.1123},
year = {2019}
}
Comments
16 pages, to appear in J. Algebra Appl