Forms of the rings R[X] and R[X, Y]-Reference-Cited by-同舟云学术

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Forms of the rings R[X] and R[X, Y]

Published:1972-09 Issue:2 Volume:13 Page:91-97
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

Bryński M.

Abstract

Let R be a ring and let S = Spec R. Let us consider the étale fini topology on S [5]. By a form of a given S-scheme T we mean any affine S-scheme W that is locally (in the étale fini topology) isomorphic to T. We shall consider forms of the R-schemes T = Spec R[X] and T = Spec R[X, Y].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. On polynomial rings in two variables;Kulk;Nieuw Arch. Wisk.,1953

2. On some infinite-dimensional groups;Šafarevič;Rend. Mat. e Appl.,1966

3. The Brauer group of a commutative ring

4. 7. Grothendieck A. , Technique de descente et théorèmes d'existence en geometrie algebrique, Séminaire Bourbaki 1958/1959, Exposé 190.

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On weak normality and symmetric algebras;Journal of Algebra;1983-11

2. On quasi-polynomial algebras;Journal of Pure and Applied Algebra;1982-11

3. On one-parameter family of affine planes;Inventiones Mathematicae;1979-10

4. Automorphism group of a polynomial ring and algebraic group action on an affine space;Journal of Algebra;1979-10

5. Geometry of algebraic varieties;Journal of Soviet Mathematics;1976-06

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