[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j160606

CLOSURE OPERATIONS AND THE DESCENDING CHAIN CONDITION

Vassilev, Janet C. (Department of Mathematics University of New Mexico)

Publication Information

Journal of the Korean Mathematical Society / v.54, no.6, 2017 , pp. 1699-1731 More about this Journal

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.

Keywords

closure operation; semiprime operation; prime operation;

Citations & Related Records

Reference

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