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MODIFIED KOSZUL COMPLEXES IN A QUANTUM SPACE RING

  • Lee, Kisuk (Department of Mathematics Sookmyung Women's University)
  • Received : 2022.03.31
  • Accepted : 2022.05.31
  • Published : 2022.08.15

Abstract

In this article, we define a modified Koszul complex, which we call a quantized Koszul complex, on a quantum space ring, and we also prove that it is an acyclic complex.

Keywords

References

  1. A. Grothendieck, Local Cohomology, Lecture Notes in Math 41, Springer-Verlag, 1967.
  2. J. Koh, Remarks on local cohomology modules, preprint.
  3. K. Lee, Local duality on a quantum space ring, in preparation.
  4. H. Matsumura, Commutative ring theory, Camb. Stud. Adv. Math. 8, Cambridge Univ. Press, Cambridge, 1992.
  5. A. Rosenberg, Noncommutative algebraic geometry and representations of quantized algebras, Mathematics and its Applications. 330, Kluwer Academic Publishers Group, Dordrecht, 1995.
  6. J. Strooker, Homological questions in local algebra, London Math. Soc. Lecture Note Series. 145, Cambridge Univ. Press, Cambridge, 1990.