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On a definition of multi-Koszul algebras

✍ Scribed by Estanislao Herscovich; Andrea Rey


Book ID
118161440
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
420 KB
Volume
376
Category
Article
ISSN
0021-8693

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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