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- Ring_of_polynomial_functions abstract "In mathematics, the ring of polynomial functions on a vector space gives a coordinate-free analog of a polynomial ring. It can be motivated as follows. If , then, as the notation suggests, we can view as coordinate functions on when This suggests the following: let V be a finite-dimensional vector space over an infinite field k and then let S be the subring generated by the dual space of the ring of functions . If we fix a basis for V and write for its dual basis, then S consists of polynomials in S can be viewed as a polynomial ring over k. If V is viewed as an algebraic variety, then this S is precisely the coordinate ring of V.".
- Ring_of_polynomial_functions wikiPageID "38608533".
- Ring_of_polynomial_functions wikiPageRevisionID "596080036".
- Ring_of_polynomial_functions hasPhotoCollection Ring_of_polynomial_functions.
- Ring_of_polynomial_functions subject Category:Polynomials.
- Ring_of_polynomial_functions subject Category:Ring_theory.
- Ring_of_polynomial_functions comment "In mathematics, the ring of polynomial functions on a vector space gives a coordinate-free analog of a polynomial ring. It can be motivated as follows. If , then, as the notation suggests, we can view as coordinate functions on when This suggests the following: let V be a finite-dimensional vector space over an infinite field k and then let S be the subring generated by the dual space of the ring of functions .".
- Ring_of_polynomial_functions label "Ring of polynomial functions".
- Ring_of_polynomial_functions sameAs m.0r8ks6z.
- Ring_of_polynomial_functions sameAs Q7334810.
- Ring_of_polynomial_functions sameAs Q7334810.
- Ring_of_polynomial_functions wasDerivedFrom Ring_of_polynomial_functions?oldid=596080036.
- Ring_of_polynomial_functions isPrimaryTopicOf Ring_of_polynomial_functions.