Purely inseparable extensions of
Author:
D. Daigle
Journal:
Proc. Amer. Math. Soc. 121 (1994), 112
MSC:
Primary 13F20; Secondary 13B02
MathSciNet review:
1227516
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Abstract: Let k be a field of characteristic and R a polynomial ring in two variables over k. Define weak variable of R to mean an element u of R such that is irreducible for each and such that for some and some integer . Given a weak variable u of R, consider all such that for some n; if one of these v is "absolutely smaller" than u (roughly, for all coordinate systems (X, Y) of R), we call it an Rcompanion of u. The main result gives a connection between the structure of a purely inseparable extension , where A is a polynomial ring in two variables, and whether or not there exists a companion for each u in a suitable set of weak variables of R.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002993919941227516X
PII:
S 00029939(1994)1227516X
Article copyright:
© Copyright 1994
American Mathematical Society
