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Finite regularity and Koszul algebras

✍ Scribed by Avramov, L. L. (Luchezar L.); Peeva, Irena


Book ID
118226242
Publisher
John Hopkins University Press
Year
2001
Tongue
English
Weight
196 KB
Volume
123
Category
Article
ISSN
0002-9327

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We prove the simple fact that the factor ring of a Koszul algebra by a regular, normal, quadratic element is a Koszul algebra. This fact leads to a new construction of quadratic Artin᎐Schelter regular algebras. This construction generalizes the construction of Artin᎐Schelter regular Clifford algebra