Regularity of algebras related to the Sklyanin algebra

Stafford, J. T.

doi:10.1090/S0002-9947-1994-1148046-4

Regularity of algebras related to the Sklyanin algebra
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Trans. Amer. Math. Soc. 341 (1994), 895-916 Request permission

Abstract:

This paper continues the research of [SS] by finding further examples of (Artin-Schelter) regular rings of dimension four. Unlike the threedimensional case studied in [ATV1, 2], these examples show that the fourdimensional regular rings are not uniquely determined by their associated geometric data. Indeed, we find a one-parameter family of regular algebras associated to this data.

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