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Regularity of algebras related to the Sklyanin algebra


Author: J. T. Stafford
Journal: Trans. Amer. Math. Soc. 341 (1994), 895-916
MSC: Primary 16W30; Secondary 14A22
DOI: https://doi.org/10.1090/S0002-9947-1994-1148046-4
MathSciNet review: 1148046
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1994-1148046-4
Keywords: Noncommutative Noetherian ring, regular ring, elliptic curve, This research was supported in part by an NSF grant
Article copyright: © Copyright 1994 American Mathematical Society

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