On Koszul algebras and a new construction of Artin-Schelter regular algebras

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Abstract

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. © 2001 Academic Press.

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APA

Shelton, B., & Tingey, C. (2001). On Koszul algebras and a new construction of Artin-Schelter regular algebras. Journal of Algebra, 241(2), 789–798. https://doi.org/10.1006/jabr.2001.8781

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