A5041500839- Algebraic Geometry and Number Theory
- Rings, Modules, and Algebras
- advanced mathematical theories
- Advanced Differential Equations and Dynamical Systems
- Advanced Topics in Algebra
- Advanced Algebra and Geometry
- Astronomy and Astrophysical Research
- Advanced Topology and Set Theory
- Homotopy and Cohomology in Algebraic Topology
- Commutative Algebra and Its Applications
- Solar and Space Plasma Dynamics
- Mathematical Dynamics and Fractals
- Galaxies: Formation, Evolution, Phenomena
- Holomorphic and Operator Theory
- Algebraic structures and combinatorial models
- Polynomial and algebraic computation
- Meromorphic and Entire Functions
- Stochastic processes and financial applications
- Astronomical Observations and Instrumentation
- Theology and Philosophy of Evil
- Stellar, planetary, and galactic studies
- Geomagnetism and Paleomagnetism Studies
- Analytic Number Theory Research
- Belt Conveyor Systems Engineering
- Algebraic and Geometric Analysis
Ovidius University
2016-2020
Universitatea Națională de Știință și Tehnologie Politehnica București
2020
Romanian Academy
2003-2014
University of Craiova
2012-2014
Astronomical Institute of the Slovak Academy of Sciences
1999-2014
Valahia University of Targoviste
2014
Czech Academy of Sciences, Institute of Mathematics
1996-2012
University of Cambridge
2010
Institut de Mathématiques de Jussieu-Paris Rive Gauche
2010
Mathematical Institute of the Slovak Academy of Sciences
2010
P ro o f The equivalence a)<=>b) is obvious.b) c).
T his w ork is a natural continuation of our previous works [1], [2], P i W e in te n d here to describe all types valuations on K ( X ) .T possibility given by main result [2 ] which give description so-called residual transcendental extension valuation .Following ideea o f MacLane (see [7 ]) fin the tio "ordered system (X )" § 2) and lim it such sy ste m .The ain section 5 shows th t v ry r. a. .extension y may be defined s suitable ordered t. extensions K(X ).In last sections re concerned...
Theorem 1.2
In this paper, further insight is obtained into the earlier approach of studying residually transcendental extensions a valuation v field K to simple extension K(x) by means minimal pairs, thereby introducing new invariants corresponding any element an algebraic closure K. It also shown that these are independent interest as well. A characterization those elements belonging given such there exists pair (a, δ) for some δ in divisible value group v.
Abstract The generating degree gdeg( A ) of a topological commutative ring with char = 0 is the cardinality smallest subset M for which subring [ ] dense in . For prime number p , denotes completion an algebraic closure field -adic numbers. We prove that 1, i.e., there exists t such [t] also compute where A(U) rigid analytic functions defined on ball U If closed then 2 while if open infinite. show more generally finite any affinoid ℙ 1 ( and infinite wide ).
Abstract In this paper we continue to study the spectral norms and their completions ([4]) in case of algebraic closure \documentclass{article} \usepackage{amssymb} \pagestyle{empty} \begin{document} $ \overline {\mathbb Q} \end{document} ℚ ℂ. Let \widetilde{\overline{\mathbb{Q}}} be completion relative norm. We prove that can identified with R‐subalgebra all symmetric functions C ( G ), where ) denotes ℂ‐Banach algebra continuous defined on absolute Galois group = Gal {\overline Q}} / . any...