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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 4, Pages 691-701
doi:10.1155/S0161171281000525

Partial Henselizations

Robert W. Sheets

Department of Mathematics, Southeast Missouri State University, Cape Girardeau 63701, Missouri, USA

Abstract

We define and note some properties of kH-pairs (k Henselian pairs), kN-pairs, and kN′-pairs. It is shown that the 2-Henselization and the 3- Henselization of a pair exist. Characterizations of quasi-local 2H-pairs are given, and an equivalence to the chain conjecture is proved.