number class - translation to ρωσικά
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number class - translation to ρωσικά

MATHEMATICAL SET IN ALGEBRAIC NUMBER THEORY
Class number (number theory); Class group; Ideal class; Ideal classes; Finiteness of class number

number class         
  • A graphical "matchstick" representation of the ordinal ω². Each stick corresponds to an ordinal of the form ω·''m''+''n'' where ''m'' and ''n'' are natural numbers.
ORDER TYPE OF A WELL-ORDERED SET
Ordinal numbers; Von Neumann ordinal; Ordinal Number; Ordinal (mathematics); Transfinite ordinal number; Transfinite ordinal numbers; Finite ordinal number; Ordinal number (finite); Transfinite sequence; Ω (ordinal number); Ordinal number (mathematics); O (ordinal number); Ordinal number (set theory); Least infinite ordinal; Second number class; First number class; Omega (set theory); Ω+1; First infinite ordinal; First infinite ordinal number; Countable ordinals; Countable ordinal; Von Neumann definition of ordinals; Von Neumann encoding; Number class; Omega (ordinal); Von Neumann ordinals

математика

класс чисел

second number class         
  • A graphical "matchstick" representation of the ordinal ω². Each stick corresponds to an ordinal of the form ω·''m''+''n'' where ''m'' and ''n'' are natural numbers.
ORDER TYPE OF A WELL-ORDERED SET
Ordinal numbers; Von Neumann ordinal; Ordinal Number; Ordinal (mathematics); Transfinite ordinal number; Transfinite ordinal numbers; Finite ordinal number; Ordinal number (finite); Transfinite sequence; Ω (ordinal number); Ordinal number (mathematics); O (ordinal number); Ordinal number (set theory); Least infinite ordinal; Second number class; First number class; Omega (set theory); Ω+1; First infinite ordinal; First infinite ordinal number; Countable ordinals; Countable ordinal; Von Neumann definition of ordinals; Von Neumann encoding; Number class; Omega (ordinal); Von Neumann ordinals

логика

второй числовой класс

second number class         
  • A graphical "matchstick" representation of the ordinal ω². Each stick corresponds to an ordinal of the form ω·''m''+''n'' where ''m'' and ''n'' are natural numbers.
ORDER TYPE OF A WELL-ORDERED SET
Ordinal numbers; Von Neumann ordinal; Ordinal Number; Ordinal (mathematics); Transfinite ordinal number; Transfinite ordinal numbers; Finite ordinal number; Ordinal number (finite); Transfinite sequence; Ω (ordinal number); Ordinal number (mathematics); O (ordinal number); Ordinal number (set theory); Least infinite ordinal; Second number class; First number class; Omega (set theory); Ω+1; First infinite ordinal; First infinite ordinal number; Countable ordinals; Countable ordinal; Von Neumann definition of ordinals; Von Neumann encoding; Number class; Omega (ordinal); Von Neumann ordinals
[логика] второй числовой класс

Ορισμός

ВЕЩЕСТВЕННОЕ ЧИСЛО
то же, что действительное число.

Βικιπαίδεια

Ideal class group

In number theory, the ideal class group (or class group) of an algebraic number field K is the quotient group JK/PK where JK is the group of fractional ideals of the ring of integers of K, and PK is its subgroup of principal ideals. The class group is a measure of the extent to which unique factorization fails in the ring of integers of K. The order of the group, which is finite, is called the class number of K.

The theory extends to Dedekind domains and their field of fractions, for which the multiplicative properties are intimately tied to the structure of the class group. For example, the class group of a Dedekind domain is trivial if and only if the ring is a unique factorization domain.

Μετάφραση του &#39number class&#39 σε Ρωσικά