Abstract
Let k be any field. Then a well-known result from linear algebra asserts that if ϕ: V ← W is an injective linear map between two finite dimensional vector spaces of the same dimension, then ϕ is surjective and the inverse map is again k-linear, i.e. a morphism in the category of vector spaces over k. In this chapter we will investigate to what extent this result can be generalized to the category of affine algebraic sets.
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© 2000 Springer Basel AG
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van den Essen, A. (2000). Injective morphisms. In: Polynomial Automorphisms. Progress in Mathematics, vol 190. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8440-2_4
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DOI: https://doi.org/10.1007/978-3-0348-8440-2_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9567-5
Online ISBN: 978-3-0348-8440-2
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