Tilting modules of finite projective dimension and a generalization of \(*\)-modules.
type: Item
instance of: scholarly article
title: Tilting modules of finite projective dimension and a generalization of \(*\)-modules.
zbMATH Open document ID: 1043.16007
DOI: 10.1016/S0021-8693(03)00143-1
author: Jiaqun Wei
author: Tong Wenting
author: Jihong Huang
author: Zhaoyong Huang
published in: Journal of Algebra
publication date: 2003-12-03T00:00:00Z
review text: The so-called `classical tilting theory' has appeared in the 80's in the context of the representation theory of Artin algebras and has proved to be very useful. Among the generalizations to larger classes of rings, it can be mentioned the notion of \(*\)-modules. In this paper, the authors introduce the notion of \(*^n\)-modules and show that tilting modules of projective dimension at most \(n\) are \(*^n\)-modules which \(n\)-present all injective modules.
Mathematics Subject Classification ID: 16E30
Mathematics Subject Classification ID: 16E10
zbMATH DE Number: 2012743
zbMATH Keywords: tilting theory
zbMATH Keywords: tilting modules
zbMATH Keywords: \(*\)-modules
zbMATH Keywords: homological dimensions
reviewed by: Flávio U. Coelho
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2012743