Partial henselizations

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.

Bibliographic Details
Main Author: Robert W. Sheets
Format: Article
Language:English
Published: Hindawi Limited 1981-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171281000525