Extensions of local fields and truncated power series
نویسنده
چکیده
Let K be a finite tamely ramified extension of Qp and let L/K be a totally ramified (Z/pnZ)-extension. Let πL be a uniformizer for L, let σ be a generator for Gal(L/K), and let f(X) be an element of ØK [X] such that σ(πL) = f(πL). We show that the reduction of f(X) modulo the maximal ideal of ØK determines a certain subextension of L/K up to isomorphism. We use this result to study the field extensions generated by periodic points of a p-adic dynamical system.
منابع مشابه
Comments on Multiparameter Estimation in Truncated Power Series Distributions under the Stein's Loss
This comment is to show that Theorem3.3 of Dey and Chung (1991) (Multiparameter estimation intruncated power series distributions under the Stein's loss.emph{Commun. Statist.-Theory Meth.,} {bf 20}, 309-326) may giveus misleading results. Analytically and through simulation, weshow that the Theorem does not improve the given estimator.
متن کاملThree-dimensional Magneto-thermo-elastic Analysis of Functionally Graded Truncated Conical Shells
This work deals with the three-dimensional magneto-thermo-elastic problem of a functionally graded truncated conical shell under non-uniform internal pressure and subjected to magnetic and thermal fields. The material properties are assumed to obey the power law form that depends on the thickness coordinate of the shell. The formulation of the problem begins with the derivation of fundamental r...
متن کاملHYPERTRANSCENDENTAL FORMAL POWER SERIES OVER FIELDS OF POSITIVE CHARACTERISTIC
Let $K$ be a field of characteristic$p>0$, $K[[x]]$, the ring of formal power series over $ K$,$K((x))$, the quotient field of $ K[[x]]$, and $ K(x)$ the fieldof rational functions over $K$. We shall give somecharacterizations of an algebraic function $fin K((x))$ over $K$.Let $L$ be a field of characteristic zero. The power series $finL[[x]]$ is called differentially algebraic, if it satisfies...
متن کاملON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS
Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1)(2012) 138-156] applied the concept of Armendariz rings to inverseskew Laurent series rings and introduced skew inverseLaurent-serieswise Armendariz rings. In this article, we study on aspecial type of these rings and introduce strongly Armendariz ringsof inverse ske...
متن کاملIntroducing a New Lifetime Distribution of Power Series Distribution of the Family Gampertz
In this Paper, We propose a new three-parameter lifetime of Power Series distributions of the Family Gampertz with decreasing, increasing, increasing-decreasing and unimodal Shape failure rate. The distribution is a Compound version of of the Gampertz and Zero-truncated Possion distributions, called the Gampertz-Possion distribution (GPD). The density function, the hazard rate function, a gener...
متن کامل