Results 251 to 260 of about 1,478,010 (293)
Some of the next articles are maybe not open access.
Algebra and Logic, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Korovina, M. V., Kudinov, O. V.
openaire +2 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Korovina, M. V., Kudinov, O. V.
openaire +2 more sources
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
openaire +1 more source
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
openaire +1 more source
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.
openaire +2 more sources
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
openaire +1 more source
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.
openaire +1 more source
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.
openaire +1 more source
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 ...
openaire +2 more sources
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 ...
openaire +2 more sources
Fields with two linear orderings
Mathematical Notes of the Academy of Sciences of the USSR, 1970We characterize fields which are maximal with respect to the property of having two different linear orderings. The Galois group of the algebraic closure of a maximal field is described. An example of non-uniqueness of the maximal extension is mentioned.
Bredikhin, S. V. +2 more
openaire +2 more sources
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
openaire +2 more sources
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
openaire +2 more sources