Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2018; 33(4): 1321-1329

Online first article June 20, 2018      Printed October 31, 2018

https://doi.org/10.4134/CKMS.c170386

Copyright © The Korean Mathematical Society.

On constructible sets and dimension of fibers

Loc Quang Nguyen

Hanoi National University of Education

Abstract

In this paper, we compare the dimension of a constructible set with the dimension of its inverse image under morphisms of finite type of noetherian Jacobson schemes.

Keywords: Chevalley's theorem, constructible set, fiber dimension, Jacobson scheme

MSC numbers: Primary 14A15

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