AUSLANDER GENERATORS AND HOMOLOGICAL CONJECTURES
Glasgow mathematical journal, Tome 56 (2014) no. 3, pp. 503-506
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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.
WEI, JIAQUN. AUSLANDER GENERATORS AND HOMOLOGICAL CONJECTURES. Glasgow mathematical journal, Tome 56 (2014) no. 3, pp. 503-506. doi: 10.1017/S0017089513000414
@article{10_1017_S0017089513000414,
author = {WEI, JIAQUN},
title = {AUSLANDER {GENERATORS} {AND} {HOMOLOGICAL} {CONJECTURES}},
journal = {Glasgow mathematical journal},
pages = {503--506},
year = {2014},
volume = {56},
number = {3},
doi = {10.1017/S0017089513000414},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000414/}
}
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