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Returning arrows for self-injective algebras and Artin–Schelter regular algebras

✍ Scribed by Guo, Jin Yun; Yin, Ying; Zhu, Can

Book ID
122333130
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
251 KB
Volume
397
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

On Koszul Algebras and a New Constructio
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✍ 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

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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