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On Koszul Algebras and a New Construction of Artin–Schelter Regular Algebras

✍ Scribed by Brad Shelton; Craig Tingey

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 87 KB
Volume: 241
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8781

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✦ Synopsis

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 algebras.

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