Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CLOSURE OPERATIONS AND THE DESCENDING CHAIN CONDITION

  • Vassilev, Janet C. (Department of Mathematics University of New Mexico)
  • Received : 2016.09.14
  • Accepted : 2017.07.03
  • Published : 2017.11.01
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Abstract

In this note, we define and compare some closures which behave somewhat like the radical closure. Using these closures as a starting point allows us to classify all semiprime closures on the nodal curve. Several examples provided show how these closures can differ significantly in the non-Noetherian setting.

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References

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