-
1 группа классов идеалов
Русско-английский научно-технический словарь Масловского > группа классов идеалов
-
2 группа классов идеалов
Mathematics: ideal class groupУниверсальный русско-английский словарь > группа классов идеалов
См. также в других словарях:
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
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
Class field theory — In mathematics, class field theory is a major branch of algebraic number theory that studies abelian extensions of number fields. Most of the central results in this area were proved in the period between 1900 and 1950. The theory takes its name… … Wikipedia
Class number formula — In number theory, the class number formula relates many important invariants of a number field to a special value of its Dedekind zeta function Contents 1 General statement of the class number formula 2 Galois extensions of the rationals 3 A … Wikipedia
Class number — In mathematics, class number may refer to Class number (group theory), the number of conjugacy classes of a group The size of the ideal class group of a number ring The number of equivalence classes of binary quadratic forms of a given… … Wikipedia
Ideal theory — In mathematics, ideal theory is the theory of ideals in commutative rings; and is the precursor name for the contemporary subject of commutative algebra. The name grew out of the central considerations, such as the Lasker Noether theorem in… … Wikipedia
Ideal number — In mathematics an ideal number is an algebraic integer which represents an ideal in the ring of integers of a number field; the idea was developed by Ernst Kummer, and led to Richard Dedekind s definition of ideals for rings. An ideal in the ring … Wikipedia
Class-D amplifier — Block diagram of a basic switching or PWM (class D) amplifier A class D amplifier or switching amplifier is an electronic amplifier where all power devices (usually MOSFETs) are operated as binary switches. They are either fully on or fully… … Wikipedia
Hilbert class field — In algebraic number theory, the Hilbert class field E of a number field K is the maximal abelian unramified extension of K . Its degree over K equals the class number of K and the Galois group of E over K is canonically isomorphic to the ideal… … Wikipedia
Fractional ideal — In mathematics, in particular commutative algebra, the concept of fractional ideal is introduced in the context of integral domains and is particularly fruitful in the study of Dedekind domains. In some sense, fractional ideals of an integral… … Wikipedia
Structure theorem for finitely generated modules over a principal ideal domain — In mathematics, in the field of abstract algebra, the structure theorem for finitely generated modules over a principal ideal domain is a generalization of the fundamental theorem of finitely generated abelian groups and roughly states that… … Wikipedia