- multiplicative ideal
- мат. мультипликативный идеал
Большой англо-русский и русско-английский словарь. 2001.
multiplicative ideal
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Idéal — Pour les articles homonymes, voir Idéal (homonymie). En mathématiques, et plus particulièrement en algèbre, un idéal est un sous ensemble remarquable d un anneau. Par certains égards, les idéaux s apparentent aux sous espaces vectoriels ce sont… … Wikipédia en Français
Ideal class group — In mathematics, the extent to which unique factorization fails in the ring of integers of an algebraic number field (or more generally any Dedekind domain) can be described by a certain group known as an ideal class group (or class group). If… … Wikipedia
Idéal de l'anneau des entiers d'un corps quadratique — En mathématiques et plus précisément en théorie algébrique des nombres, l anneau des entiers d un corps quadratique ressemble à certains égards à celui des entiers relatifs. Certains d entre eux sont euclidiens comme celui des entiers de Gauss d… … Wikipédia en Français
Multiplicative group of integers modulo n — In modular arithmetic the set of congruence classes relatively prime to the modulus n form a group under multiplication called the multiplicative group of integers modulo n. It is also called the group of primitive residue classes modulo n. In… … Wikipedia
Ideal norm — In commutative algebra, the norm of an ideal is a generalization of a norm of an element in the field extension. It is particularly important in number theory since it measures the size of an ideal of a complicated number ring in terms of an… … Wikipedia
Anneau idéal — Idéal Pour les articles homonymes, voir Idéal (homonymie). En mathématiques, un idéal est une structure algébrique définie dans un anneau. Les idéaux généralisent de façon féconde l étude de la divisibilité pour les entiers. Il est ainsi possible … Wikipédia en Français
Maximal ideal — In mathematics, more specifically in ring theory, a maximal ideal is an ideal which is maximal (with respect to set inclusion) amongst all proper ideals.[1][2] In other words, I is a maximal ideal of a ring R if I is an ideal of R, I ≠ R, and… … Wikipedia
Norm of an ideal — The norm of an ideal is defined in algebraic number theory. Let Ksubset L be two number fields with rings of integers O Ksubset O L. Suppose that the extension L/K is a Galois extension with :G= extstyle{Gal}(L/K). The norm of an ideal I of O L… … Wikipedia
prime ideal — Math. an ideal in a ring with a multiplicative identity, having the property that when the product of two elements of the ring results in an element of the ideal, at least one of the elements is an element of the ideal. * * * … Universalium
prime ideal — Math. an ideal in a ring with a multiplicative identity, having the property that when the product of two elements of the ring results in an element of the ideal, at least one of the elements is an element of the ideal … Useful english dictionary
principal ideal — Math. the smallest ideal containing a given element in a ring; an ideal in a ring with a multiplicative identity, obtained by multiplying each element of the ring by one specified element. [1935 40] * * * … Universalium
