Gorenstein Dimensions over Some Rings of the Form \(R \oplus C\)

• Published in: arXiv.org
• Main Author: Pye Phyo Aung
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 14.03.2015
• Subjects: Rings (mathematics)

Given a semidualizing module \(C\) over a commutative noetherian ring, Holm and J\o{}rgensen investigate some connections between \(C\)-Gorenstein dimensions of an \(R\)-complex and Gorenstein dimensions of the same complex viewed as a complex over the "trivial extension" \(R \ltimes C\)....