Double Ore Extensions

@inproceedings{Zhang2008DoubleOE,
  title={Double Ore Extensions},
  author={James J. Zhang},
  year={2008}
}
A double Ore extension is a natural generalization of the Ore extension. We prove that a connected graded double Ore extension of an ArtinSchelter 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. 

From This Paper

Topics from this paper.
3 Citations
15 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Generic flatness for strongly Noetherian algebras

  • ASZ M. Artin, L. W. Small, J. J. Zhang
  • J. Algebra
  • 1999

Quantum ruled surfaces

  • D. Patrick
  • Ph.D. thesis, M.I.T.
  • 1997
2 Excerpts

Some algebraic structures connected with the YangBaxter equation ( Russian ) , Funktsional

  • E. K. Sklyanin
  • Anal . i Prilozhen
  • 1997

Modules over regular algebras of dimension 3

  • M. Artin, J. Tate, M. Van den Bergh
  • Invent. Math
  • 1991

J

  • M. Artin
  • Tate and M. Van den Bergh, Some algebras…
  • 1990

Similar Papers

Loading similar papers…