Results 261 to 270 of about 10,424,213 (314)
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Order, 1986
Es sei K ein archimedischer verbandsgeordneter Körper. Verf. zeigt zunächst, daß es einen größten Unterkörper L von K gibt, der total geordnet werden kann, so daß K ein geordneter Vektorraum über L ist. Ist K algebraisch über L, so kann die Verbandsordnung von K zu einer totalen Ordnung erweitert werden. Ist K endlich über L, so ist die additive Gruppe
Niels Schwartz
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Es sei K ein archimedischer verbandsgeordneter Körper. Verf. zeigt zunächst, daß es einen größten Unterkörper L von K gibt, der total geordnet werden kann, so daß K ein geordneter Vektorraum über L ist. Ist K algebraisch über L, so kann die Verbandsordnung von K zu einer totalen Ordnung erweitert werden. Ist K endlich über L, so ist die additive Gruppe
Niels Schwartz
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, 2010
In this chapter we will concentrate on lattice-ordered fields. Since more is known about totally ordered fields than about l-fields in general most of this chapter will be concerned with totally ordered fields. Examples of l-fields come from power series l-rings and from constructing lattice orders on the reals and other similar totally ordered fields.
Stuart A. Steinberg
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In this chapter we will concentrate on lattice-ordered fields. Since more is known about totally ordered fields than about l-fields in general most of this chapter will be concerned with totally ordered fields. Examples of l-fields come from power series l-rings and from constructing lattice orders on the reals and other similar totally ordered fields.
Stuart A. Steinberg
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Algebra and Logic, 2023
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Korovina, M. V., Kudinov, O. V.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Korovina, M. V., Kudinov, O. V.
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Highly ordered magnetic fields in the tail of the jellyfish galaxy JO206
, 2020Jellyfish galaxies have long tails of gas that is stripped from the disk by ram pressure due to the motion of galaxies in the intracluster medium in galaxy clusters. Here, we present the magnetic field strength and orientation within the disk and the (90-
A. Müller +10 more
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Strongly dependent ordered abelian groups and Henselian fields
Israel Journal of Mathematics, 2017Strongly dependent ordered abelian groups have finite dp-rank. They are precisely those groups with finite spines and |{p prime : [G:pG]=∞}|
Yatir Halevi, Assaf Hasson
semanticscholar +1 more source
1996
Abstract In the previous chapter, we gave a certain development for ordered sets and ordered groups. In this chapter, we shall add another layer of structure, and we shall discuss ordered fields. In many ways, our development will follow the earlier story, but naturally at a few points we shall have to work a little harder to take into ...
H Garth Dales, W Hugh Woodin
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Abstract In the previous chapter, we gave a certain development for ordered sets and ordered groups. In this chapter, we shall add another layer of structure, and we shall discuss ordered fields. In many ways, our development will follow the earlier story, but naturally at a few points we shall have to work a little harder to take into ...
H Garth Dales, W Hugh Woodin
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Interpolation Pseudo-Ordered Algebras Over Partially Ordered Fields
Journal of Mathematical Sciences, 2023Let \(R\) be a (perhaps nonassociative and nonunital) ring, and let \(\leq\) be a partial ordering on \(R\). Then \((R,\leq)\) is said to be \textit{partially pseudo-ordered} if \begin{itemize} \item \(a\leq b \implies a+c\leq b+c\) for all \(a,b,c\in R\), \item whenever \(0\leq a\), we have \(ab\leq a\) and \(ba\leq a\) for all \(a,b\in R\).
Mikhalev, A. V., Shirshova, E. E.
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Ordered Fields, Real Closed Fields
1998The first three sections of this chapter briefly review Artin-Schreier theory: ordered fields, real fields, real closed fields and the real closure of an ordered field. The fourth section is devoted to the Tarski-Seidenberg principle, which is an essential tool for real algebraic geometry.
Jacek Bochnak +2 more
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2020
Field service order from the furniture department in the Stewart Office Supply Company in Dallas, Texas. Order issued by Preuss Pathological Lab under Fred Preuss, who confirms that the service was completed.
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Field service order from the furniture department in the Stewart Office Supply Company in Dallas, Texas. Order issued by Preuss Pathological Lab under Fred Preuss, who confirms that the service was completed.
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Siberian Mathematical Journal, 1999
Note that a nonzero derivation on a linearly ordered field cannot be a monotone operator. So the classical definition of an order for a differential field makes no sense, since it imposes the condition on the derivation to be a monotone operator. The author introduces the notion of a partially ordered differential field as a partially ordered field ...
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Note that a nonzero derivation on a linearly ordered field cannot be a monotone operator. So the classical definition of an order for a differential field makes no sense, since it imposes the condition on the derivation to be a monotone operator. The author introduces the notion of a partially ordered differential field as a partially ordered field ...
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