ScholarLens Back to search
1959•Transactions of the American Mathematical SocietyOpen access

Specializations in differential algebra

Azriel Rosenfeld

Open full text 71 citations

Abstract

28, 33-34 and the parallels in Chapter IX]; Kolchin [3, and Kolchin [4,].An acquaintance on the part of the reader with this material will be assumed.(2) The theorem referred to here was proved for ordinary differential fields by Ritt (see Ritt [5,).A proof using elimination-theoretic methods has just (late 1956) appeared in Seidenberg [8].

Open-access reader

About this research paper

What this paper is about

28, 33-34 and the parallels in Chapter IX]; Kolchin [3, and Kolchin [4,].An acquaintance on the part of the reader with this material will be assumed.(2) The theorem referred to here was proved for ordinary differential fields by Ritt (see Ritt [5,).A proof using elimination-theoretic methods has just (late 1956) appeared in Seidenberg [8].

Why it matters

OpenAlex reports 71 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

28, 33-34 and the parallels in Chapter IX]; Kolchin [3, and Kolchin [4,].An acquaintance on the part of the reader with this material will be assumed.(2) The theorem referred to here was proved for ordinary differential fields by Ritt (see Ritt [5,).A proof using elimination-theoretic methods has just (late 1956) appeared in Seidenberg [8].

Key concepts: Mathematics, Differential algebra, Ideal (ethics), Differential form, Differential algebraic geometry, Differential (mechanical device), Mathematical proof, Algebraic differential equation

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Specializations in differential algebra — Research Paper | ScholarLens