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The Quadratic Tree of a Two-Dimensional Regular Local Ring

In: Algebraic, Number Theoretic, and Topological Aspects of Ring Theory

Author

Listed:
  • William Heinzer

    (Department of Mathematics, Purdue University)

  • K. Alan Loper

    (Ohio State University at Newark)

  • Bruce Olberding

    (Department of Mathematical Sciences, New Mexico State University)

  • Matthew Toeniskoetter

    (Department of Mathematics and Statistics, Oakland University)

Abstract

In this survey article, we discuss recent work describing the integrally closed rings between a two-dimensional regular local ring D and its quotient field F. A main emphasis is on those rings that can be obtained as an intersection of regular local rings between D and F.

Suggested Citation

  • William Heinzer & K. Alan Loper & Bruce Olberding & Matthew Toeniskoetter, 2023. "The Quadratic Tree of a Two-Dimensional Regular Local Ring," Springer Books, in: Jean-Luc Chabert & Marco Fontana & Sophie Frisch & Sarah Glaz & Keith Johnson (ed.), Algebraic, Number Theoretic, and Topological Aspects of Ring Theory, pages 237-252, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-28847-0_15
    DOI: 10.1007/978-3-031-28847-0_15
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