충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제35권3호
  • /
  • Pages.197-204
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  • 2022
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
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MODIFIED KOSZUL COMPLEXES IN A QUANTUM SPACE RING

  • Lee, Kisuk (Department of Mathematics Sookmyung Women's University)
  • 투고 : 2022.03.31
  • 심사 : 2022.05.31
  • 발행 : 2022.08.15
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초록

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.

키워드

참고문헌

  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.