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Auslander's condition and tilting theory

Published online by Cambridge University Press:  01 October 2010

Jiaqun Wei
Jiaqun Wei
Affiliation:
Department of Mathematics, Nanjing Normal University, Nanjing 210046, People's Republic of China ([email protected])
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Abstract

AC rings (rings satisfying Auslander's condition) have recently been studied by Christensen and Holm, among others. We will employ tilting theory to study Auslander's condition. In particular, we prove that the class of AC Artin algebras is closed under tilting equivalences.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 5 , October 2010 , pp. 1111 - 1118
Copyright
Copyright © Royal Society of Edinburgh 2010

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