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Algebra i logika, 2012, Volume 51, Number 2, Pages 193–196 (Mi al529)  
A stability criterion

Yu. L. Ershovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: We come up with an independent proof for a corollary to the main theorem in [Yu. L. Ershov, “Stability preservation theorems”, Algebra Logika, 47, No. 3, 269–287 (2008)], since that corollary is the degenerate case of the main theorem (with empty sets $B_0$ and $B_1$), which establishes a stability criterion for a Henselian valued field. Such a proof is given here based on an analysis of tame and purely wild extensions made in [Yu. L. Ershov, “Tame and purely wild extensions of valued fields”, Algebra Analysis, 19, No. 5, 124–136 (2007)].
Keywords: Henselian valued field, stability, tame extension, purely wild extension.
Received: 01.03.2012
English version:
Algebra and Logic, 2012, Volume 51, Issue 2, Pages 128–130
DOI: https://doi.org/10.1007/s10469-012-9176-7
Bibliographic databases:
Document Type: Article
UDC: 512.623.4
Language: Russian
Citation: Yu. L. Ershov, “A stability criterion”, Algebra Logika, 51:2 (2012), 193–196; Algebra and Logic, 51:2 (2012), 128–130
Citation in format AMSBIB
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    		Алгебра и логика Algebra and Logic
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