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AUSLANDER GENERATORS AND HOMOLOGICAL CONJECTURES

Published online by Cambridge University Press:  30 August 2013

JIAQUN WEI
JIAQUN WEI*
Affiliation:
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, P. R. China e-mail: weijiaqun@njnu.edu.cn
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Abstract

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Let A be an artin algebra with representation dimension not more than 3. Assuming that AV is an Auslander generator and M ∈ addAV, we show that both findim(EndAM) and findim(EndAM)op are finite, and consequently the Gorenstein symmetry conjecture, the Wakamatsu-tilting conjecture and the generalized Nakayama conjecture hold for EndAM.

Keywords

16E0516E1016G10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 3 , September 2014 , pp. 503 - 506
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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