Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-11T05:26:18.898Z Has data issue: false hasContentIssue false

On separable A1-forms

Published online by Cambridge University Press:  22 January 2016

Amartya Kumar Dutta*
Affiliation:
Stat-Math Unit, Indian Statistical Institute, 203, B.T. Road, Calcutta 700 035, India, amartya@isical.ac.in
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We show that for any field k, separable A1-forms over commutative k-algebras are trivial.

Keywords

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2000

References

[BCW] Bass, H., Connell, E. H. and Wright, D. L., Locally polynomial algebras are symmetric algebras., Invent. Math., 38 (1977), 279299.CrossRefGoogle Scholar
[BD] Bhatwadekar, S. M., Dutta, A. K., On A1-fibrations of subalgebras of polynomial algebras, Comp. Math., 95(3) (1995), 263285.Google Scholar
[I] Itoh, S., On Weak Normality and Symmetric Algebras, J. Algebra, 85(1) (1983), 4050.Google Scholar
[M] Matsumura, H., Commutative Algebra, 2nd Edn., Benjamin, 1980.Google Scholar
[K] Kambayashi, T., On the absence of nontrivial separable forms of the affine plane, J. Algebra, 35 (1975), 449456.Google Scholar
[S] Sathaye, A., Polynomial Ring in Two Variables over a D.V.R.:A Criterion, Invent. Math., 74 (1983), 159168.Google Scholar