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Skew polynomial algebras with coefficients in Koszul Artin–Schelter regular algebras

✍ Scribed by He, Ji-Wei; Van Oystaeyen, Fred; Zhang, Yinhuo

Book ID
120510657
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
334 KB
Volume
390
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

On Koszul Algebras and a New Constructio
On Koszul Algebras and a New Construction of Artin–Schelter Regular Algebras
✍ Brad Shelton; Craig Tingey 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 87 KB

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

Segre Product of Artin–Schelter Regular
Segre Product of Artin–Schelter Regular Algebras of Dimension 2 and Embeddings in Quantum P3's
✍ Kristel Van Rompay 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 305 KB

The Segre embedding of ‫ސ‬ 1 = ‫ސ‬ 1 as a smooth quadric Q in ‫ސ‬ 3 corresponds to the surjection of the four-dimensional polynomial ring onto the Segre product S of two copies of the homogeneous coordinate ring of ‫ސ‬ 1 . We study Segre products of noncommutative algebras. If in particular A and B