Communications of the
Korean Mathematical Society CKMS

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Commun. Korean Math. Soc. 2016; 31(3): 423-431

Printed July 31, 2016

https://doi.org/10.4134/CKMS.c150148

Copyright © The Korean Mathematical Society.

Mappings of cubic sets

Jeong Gi Kang and Chang Su Kim

Gyeongsang National University, Gyeongsang National University

Abstract

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Images and inverse images of (almost) stable cubic sets are discussed. We show that the image and inverse image of stable cubic sets are also stable. Conditions for the image of almost cubic sets to be an almost cubic set are provided. The complement, the P-union and the P-intersection of (inverse) images of (almost) stable cubic sets are considered.

Keywords: (almost) stable cubic set, stable element, evaluative set, stable degree

MSC numbers: 03E72, 08A72

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