Abstract
The content of this chapter is the dimension theory of local rings, and its application to the investigation of tangent spaces to varieties and local properties of morphisms. The resulting technique enables us to use Lie algebras in dealing with coset varieties arising from algebraic groups later on.
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© 1981 Springer-Verlag New York Inc.
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Hochschild, G.P. (1981). Local Theory. In: Basic Theory of Algebraic Groups and Lie Algebras. Graduate Texts in Mathematics, vol 75. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8114-3_11
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DOI: https://doi.org/10.1007/978-1-4613-8114-3_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8116-7
Online ISBN: 978-1-4613-8114-3
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