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Regularity and K0-group of quadric solvable polynomial algebras

✍ Scribed by Huishi Li

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
238 KB
Volume
267
Category
Article
ISSN
0021-8693

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✦ Synopsis

Concerning solvable polynomial algebras in the sense of Kandri-Rody and Weispfenning [J. Symbolic Comput. 9 (1990) 1-26], it is shown how to recognize and construct quadric solvable polynomial algebras in an algorithmic way. If A = k[a 1 , . . . , a n ] is a quadric solvable polynomial algebra, it is proved that gl.dim A n and K 0 (A) ∼ = Z. If A is a tame quadric solvable polynomial algebra, it is shown that A is completely constructable and Auslander regular.

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Let k be a field of characteristic 0. Based on the Gelfand-Kirillov dimension computation of modules over solvable polynomial k-algebras, where solvable polynomial algebras are in the sense of A.