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Symmetry and duality on n-Gorenstein rings

✍ Scribed by Osamu Iyama

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 190 KB
Volume: 269
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00419-8

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✦ Synopsis

We will study homological properties of noetherian rings. As a bridge between the n-Gorenstein property and the dominant dimension, we will introduce the dominant numbers of rings and prove their left-right symmetry (Section 1.1). The (l, n)-condition (Section 2.2) on selfinjective resolutions provides a useful tool on our study. Moreover, we will give two dualities on n-Gorenstein rings (Sections 1.2, 1.3), where one of them is closely related to the Auslander-Reiten theory (Section 1.3.1).

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