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этимология

Что (кто) такое valuation ideal - определение

FUNCTION IN ALGEBRA

Dedekind valuation; Valuation theory; Exponential valuation; Valued field; Complete valued field; Valuation group; Valuation ring of a valuation; Prime ideal of a valuation; Maximal ideal of a valuation; Residue field of a valuation; Value group; P-adic valuation of a Dedekind domain; Trivial valuation; Equivalence of valuations; Extension of a valuation; Reduced ramification index of an extension of valuations; Ramification index of an extension of valuations; Relative degree of an extension of valuations; Krull valuation

ideal

WIKIMEDIA DISAMBIGUATION PAGE

Ideal (mathematics); Ideals; Ideal (disambiguation)

<theory> In domain theory, a non-empty, downward closed subset which is also closed under binary least upper bounds. I.e. anything less than an element is also an element and the least upper bound of any two elements is also an element. (1997-09-26)

ideal

WIKIMEDIA DISAMBIGUATION PAGE

Ideal (mathematics); Ideals; Ideal (disambiguation)

I. a.

1.

Intellectual, mental.

2.

Imaginary, unreal, fanciful, fantastic, fancied, illusory, chimerical, visionary, shadowy.

3.

Complete, perfect, consummate, filling our utmost conceptions.

II. n.

Imaginary standard, ideal model of perfection.

IDEAL

WIKIMEDIA DISAMBIGUATION PAGE

Ideal (mathematics); Ideals; Ideal (disambiguation)

1. Ideal DEductive Applicative Language. A language by Pier Bosco and Elio Giovannetti combining Miranda and Prolog. Function definitions can have a guard condition (introduced by ":-") which is a conjunction of equalities between arbitrary terms, including functions. These guards are solved by normal Prolog resolution and unification. It was originally compiled into C-Prolog but was eventually to be compiled to K-leaf. 2. A numerical constraint language written by Van Wyk of Stanford in 1980 for typesetting graphics in documents. It was inspired partly by Metafont and is distributed as part of Troff. ["A High-Level Language for Specifying Pictures", C.J. Van Wyk, ACM Trans Graphics 1(2):163-182 (Apr 1982)]. (1994-12-15)

Википедия

Valuation (algebra)

In algebra (in particular in algebraic geometry or algebraic number theory), a valuation is a function on a field that provides a measure of the size or multiplicity of elements of the field. It generalizes to commutative algebra the notion of size inherent in consideration of the degree of a pole or multiplicity of a zero in complex analysis, the degree of divisibility of a number by a prime number in number theory, and the geometrical concept of contact between two algebraic or analytic varieties in algebraic geometry. A field with a valuation on it is called a valued field.

https://en.wikipedia.org/wiki/Valuation (algebra)