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.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171281000525 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |