Double Ore Extensions

By James J. Zhang, Jun Zhang. 2007

74 citations recorded by the source corpus.

Abstract A double Ore extension is a natural generalization of the Ore extension. We prove that a connected graded double Ore extension of an Artin–Schelter regular algebra is Artin–Schelter regular. Some other basic properties such as the determinant of the DE-data are studied. Using the double Ore extension, we construct 26 families of Artin–Schelter regular algebras of global dimension four in a sequel paper.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/1045f7278683cd41c58765ec35b78a45b1430481

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Jun Zhang
2. James J. Zhang
3. U. Krähmer
4. Amnon Yekutieli
5. Kenneth A. Brown
6. D. Rogalski

In Geometry and Topology

1. Jun Zhang
2. James J. Zhang
3. Amnon Yekutieli
4. U. Krähmer
5. Kenneth A. Brown
6. D. Rogalski
7. Masaki Kashiwara

Citations in the corpus

• Double extension regular algebras of type (14641) (2007, background): “Next we will show that the definition of a 2-extension is equivalent to that of a double extension introduced in [28].”