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Displaying 41 – 60 of 162

Some algebraic aspects of quadratic forms over fields of characteristic two.

Baeza, Ricardo (2001)

Documenta Mathematica

Some Algebraic Properties of Polynomial Rings

Christoph Schwarzweller, Artur Korniłowicz (2016)

Formalized Mathematics

In this article we extend the algebraic theory of polynomial rings, formalized in Mizar [1], based on [2], [3]. After introducing constant and monic polynomials we present the canonical embedding of R into R[X] and deal with both unit and irreducible elements. We also define polynomial GCDs and show that for fields F and irreducible polynomials p the field F[X]/ is isomorphic to the field of polynomials with degree smaller than the one of p.

Some basic facts in algebraic geometry on a non algebraically closed field

Lucia Beretta, Alberto Tognoli (1976)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Some classes of irreducible polynomials

Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat (2006)

Acta Arithmetica

Some counterexamples in $p$ -adic analysis

Ján Mináč (1980)

Mathematica Slovaca

Some elementary remarks about $n$ -local fields

Victor Alexandru, Nicolae Popescu (1994)

Rendiconti del Seminario Matematico della Università di Padova

Some euclidean properties for real quadratic fields

Daniel Shapiro, Raj Markanda, Ezra Brown (1986)

Acta Arithmetica

Some intersection and generation properties of convex sets

Robert E. Jamison (1977)

Compositio Mathematica

Some methods for evaluating the regulator of a real quadratic function field.

Stein, Andreas, Williams, Hugh C. (1999)

Experimental Mathematics

Some properties of algebras of real-valued measurable functions

Ali Akbar Estaji, Ahmad Mahmoudi Darghadam (2023)

Archivum Mathematicum

Let $M (X, 𝒜)$ ( $M^{*} (X, 𝒜)$ ) be the $f$ -ring of all (bounded) real-measurable functions on a $T$ -measurable space $(X, 𝒜)$ , let $M_{K} (X, 𝒜)$ be the family of all $f \in M (X, 𝒜)$ such that $coz (f)$ is compact, and let $M_{\infty} (X, 𝒜)$ be all $f \in M (X, 𝒜)$ that ${x \in X : | f (x) | \geq \frac{1}{n}}$ is compact for any $n \in ℕ$ . We introduce realcompact subrings of $M (X, 𝒜)$ , we show that $M^{*} (X, 𝒜)$ is a realcompact subring of $M (X, 𝒜)$ , and also $M (X, 𝒜)$ is a realcompact if and only if $(X, 𝒜)$ is a compact measurable space. For every nonzero real Riesz map $ϕ : M (X, 𝒜) \to ℝ$ , we prove that there is an element $x_{0} \in X$ such that $ϕ (f) = f (x_{0})$ for every $f \in M (X, 𝒜)$ if $(X, 𝒜)$ is a compact measurable space. We confirm...

Some remarks on a paper by A. McD. Mercer: “Polynomials and convex sequence inequalities” [JIPAM. J. Inequal. Pure Appl. Math. 6, 2005, no. 1, Paper No. 8, 4p., electronic only].

Gavrea, Ioan (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Currently displaying 41 – 60 of 162

Previous Page 3 Next

Displaying 41 – 60 of 162

Some algebraic aspects of quadratic forms over fields of characteristic two.

Some Algebraic Properties of Polynomial Rings

Some basic facts in algebraic geometry on a non algebraically closed field

Some classes of irreducible polynomials

Some counterexamples in $p$ -adic analysis

Some elementary remarks about $n$ -local fields

Some euclidean properties for real quadratic fields

Some intersection and generation properties of convex sets

Some methods for evaluating the regulator of a real quadratic function field.

Some properties of algebras of real-valued measurable functions

Some properties of the $q$ -adic Vandermonde matrix.

Some properties of the ring of Nash functions

Some Recent Developments in three Classical Problems of Number Theory.

Some remarks on a paper by A. McD. Mercer: “Polynomials and convex sequence inequalities” [JIPAM. J. Inequal. Pure Appl. Math. 6, 2005, no. 1, Paper No. 8, 4p., electronic only].

Some remarks on ordered fields

Some remarks on partitioning semirings.

Some remarks on the decomposition of a rational prime in a Galois extension

Some remarks on the $Ω$ -stability for families of polynomials

Some results about exponential fields (survey)

Some results on the degree of imperfection of complete valued fields.

Currently displaying 41 – 60 of 162