AUSLANDER GENERATORS AND HOMOLOGICAL CONJECTURES
Glasgow mathematical journal, Tome 56 (2014) no. 3, pp. 503-506

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.1017/S0017089513000414
Mots-clés : 16E05, 16E10, 16G10
WEI, JIAQUN. AUSLANDER GENERATORS AND HOMOLOGICAL CONJECTURES. Glasgow mathematical journal, Tome 56 (2014) no. 3, pp. 503-506. doi: 10.1017/S0017089513000414
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