International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 4, Pages 691-701
doi:10.1155/S0161171281000525
Partial henselizations
Department of Mathematics, Southeast Missouri State University, Cape Girardeau 63701, Missouri, USA
Received 28 January 1980
Copyright © 1981 Robert W. Sheets. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.