Open Access
Summer 2011 Graded Morita equivalences for generic Artin-Schelter regular algebras
Kenta Ueyama
Kyoto J. Math. 51(2): 485-501 (Summer 2011). DOI: 10.1215/21562261-1214420


Let A=A(E,σ),A'=A(E',σ') be Noetherian Artin-Schelter regular geometric algebras with dimkA1=dimkA1'=n, and let ν,ν' be generalized Nakayama automorphisms of A,A'. In this paper, we study relationships between the conditions

(A) A is graded Morita equivalent to A', and

(B) A(E,νσn) is isomorphic to A(E',(ν')(σ')n) as graded algebras.

It is proved that if A,A' are “generic” 3-dimensional quadratic Artin-Schelter regular algebras, then (A) is equivalent to (B), and if A,A' are n-dimensional skew polynomial algebras, then (A) implies (B).


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Kenta Ueyama. "Graded Morita equivalences for generic Artin-Schelter regular algebras." Kyoto J. Math. 51 (2) 485 - 501, Summer 2011.


Published: Summer 2011
First available in Project Euclid: 22 April 2011

zbMATH: 1228.16024
MathSciNet: MR2793276
Digital Object Identifier: 10.1215/21562261-1214420

Primary: 16D90 , 16S37 , 16S38 , 16W50

Rights: Copyright © 2011 Kyoto University

Vol.51 • No. 2 • Summer 2011
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