Results 271 to 280 of about 94,120 (308)

Computable dimension for ordered fields

Archive for Mathematical Logic, 2016
It is a natural question to ask whether the various effective presentations of a computable structure are somewhat equivalent. This can be phrased in terms of computable dimension: the computable dimension of a computable structure is the number of distinct computable presentations of the structure, up to computable isomorphism.
OSCAR Levin
exaly   +3 more sources

Partially Ordered Fields and Integral Domains

Order
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Jingjing Ma
exaly   +2 more sources

Embedding ∗-ordered domains into skew fields

Journal of Algebra, 2006
We study the problem of embedding domains with ∗-orderings into skew fields. Assuming that the natural valuation associated to a ∗-ordered domain satisfies an Ore-type condition, we prove that the domain embeds in an order-preserving way into a ∗-ordered
Igor Klep
exaly   +2 more sources

High-Order Directional Fields

ACM Transactions on Graphics, 2022
We introduce a framework for representing face-based directional fields of an arbitrary piecewise-polynomial order. Our framework is based on a primal-dual decomposition of fields, where the exact component of a field is the gradient of piecewise-polynomial conforming function, and the coexact component is defined as the adjoint of a dimensionally ...
Iwan Boksebeld, Amir Vaxman
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The Order of Inseparability of Fields

Canadian Journal of Mathematics, 1979
Let L be a finitely generated field extension of a field K of characteristic p ≠ 0. By Zorn's Lemma there exist maximal separable extensions of K in L and L is finite dimensional purely inseparable over any such field. If ps is the smallest of the dimensions of L over such maximal separable extensions of K in L, then s is Wiel's order of inseparability
Deveney, James K., Mordeson, John N.
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Ordered Fields and Grzegorczyk’s Hierarchy

Lecture Notes in Computer Science
VÍCTOR Selivanov, Selivanov VÍCTOR
exaly   +2 more sources

Absolute Convergence in Ordered Fields

The American Mathematical Monthly, 2014
We explore the distinction between convergence and absolute convergence of se- ries in both Archimedean and non-Archimedean ordered fields and find that the relationship between them is closely connected to sequential (Cauchy) completeness.
Pete L. Clark, Niels J. Diepeveen
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Ordered fields

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 ...
H Garth Dales, W Hugh Woodin
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Fields with two linear orderings

Mathematical Notes of the Academy of Sciences of the USSR, 1970
We 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., Ershov, Yu. L., Kal'nej, V. E.   +2 more
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Order Characterization of the Complex Field

Canadian Mathematical Bulletin, 1978
It is well known that the real number field can be characterized as an ordered field satisfied the “least upper bound” property.Using the idea of n -ordered set, introduced in [3], and generalizing the notion of l.u.b. in a suitable way, it is possible to give a similar categorical definition of the complex field.With these extended meanings, the main ...
openaire   +1 more source