Ring of polynomial functions
id:
ring-of-polynomial-functions-185-9258201
title:
Ring of polynomial functions
text:
In mathematics, the ring of polynomial functions on a vector space V over a field k gives a coordinate-free analog of a polynomial ring. It is denoted by k[V]. If V is finite dimensional and is viewed as an algebraic variety, then k[V] is precisely the coordinate ring of V. The explicit definition of the ring can be given as follows. Given a polynomial ring k [ t 1, …, t n ], we can view t i as a coordinate function on k n ; i.e., t i = x i where x =. This suggests the following: given a vector
brand slug:
wiki
category slug:
encyclopedia
description:
Algebraic structure
original url:
https://en.wikipedia.org/wiki/Ring_of_polynomial_functions
date created:
2013-02-22T23:21:01Z
date modified:
2024-09-07T22:30:00Z
main entity:
{"identifier":"Q7334810","url":"https://www.wikidata.org/entity/Q7334810"}
image:
fields total:
13
integrity:
15