Geodesic
GRADED MORITA EQUIVALENCES FOR GEOMETRIC AS-REGULAR ALGEBRAS
Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 241-257

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

Classification of AS-regular algebras is one of the major projects in non-commutative algebraic geometry. In this paper, we will study when given AS-regular algebras are graded Morita equivalent. In particular, for every geometric AS-regular algebra A, we define another graded algebra A, and show that if two geometric AS-regular algebras A and A' are graded Morita equivalent, then A and A' are isomorphic as graded algebras. We also show that the converse holds in many three-dimensional cases. As applications, we apply our results to Frobenius Koszul algebras and Beilinson algebras.
DOI : 10.1017/S001708951200047X
Mots-clés : 16W50, 16D90, 16S38, 16S37, 16E65 
MORI, IZURU; UEYAMA, KENTA. GRADED MORITA EQUIVALENCES FOR GEOMETRIC AS-REGULAR ALGEBRAS. Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 241-257. doi: 10.1017/S001708951200047X
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