splitting ideal
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Splitting of prime ideals in Galois extensions — In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of… … Wikipedia
Splitting field — In abstract algebra, a splitting field of a polynomial with coefficients in a field is a smallest field extension of that field over which the polynomial factors (or splits , hence the name) into linear factors. Contents 1 Definition 2 Facts 3 … Wikipedia
Pole splitting — is a type of frequency compensation used in an electronic amplifier in which a capacitor is introduced between the input and output sides of the amplifier with the intention of moving the pole lowest in frequency (usually an input pole) to lower… … Wikipedia
Construction of splitting fields — In mathematics, a splitting field of a polynomial with coefficients in a field is an extension of that field over which the polynomial factors into linear factors. The purpose of this article is to describe an iterative process for constructing… … Wikipedia
Narcissistic personality disorder — See also: Narcissism and Malignant narcissism Narcissistic personality disorder Classification and external resources Narcissus by Caravaggio. Narcissus gazing at his own ref … Wikipedia
Idealization and devaluation — In psychoanalytic theory, when an individual is unable to integrate difficult feelings, specific defenses are mobilized to overcome what the individual perceives as an unbearable situation. The defense that helps in this process is called… … Wikipedia
Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) … Wikipedia
Chebotarev's density theorem — in algebraic number theory describes statistically the splitting of primes in a given Galois extension K of the field Q of rational numbers. Generally speaking, a prime integer will factor into several ideal primes in the ring of algebraic… … Wikipedia
Liste des publications d'Emmy Noether — Emmy Noether (1882 1935) est une mathématicienne allemande spécialiste de l algèbre. Cet article est une liste des publications qui ont fait sa renommée. Sommaire 1 Première époque (1908–1919) 2 Deuxième époque (1920–1926) 3 Troisiè … Wikipédia en Français
United States — a republic in the N Western Hemisphere comprising 48 conterminous states, the District of Columbia, and Alaska in North America, and Hawaii in the N Pacific. 267,954,767; conterminous United States, 3,022,387 sq. mi. (7,827,982 sq. km); with… … Universalium
Finite field — In abstract algebra, a finite field or Galois field (so named in honor of Évariste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and… … Wikipedia
