Partial henselizations

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Partial Henselizations

We define and note some properties of k H-pairs (k Henselian pairs), k N-pairs, and k N’-pairs. It is shown that the 2-Henselization and the 3Henselization 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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Approximation of Elements in Henselizations

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 1981

ISSN: 0161-1712,1687-0425

DOI: 10.1155/s0161171281000525