Finite codimensional subalgebras of Stein algebras and semiglobally Stein algebras
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- by Hà Huy Khoái and Nguyen Văn Khuê PDF
- Trans. Amer. Math. Soc. 330 (1992), 503-508 Request permission
Abstract:
The following theorem is proved: For each finite codimensional subalgebra $A$ of a Stein algebra $B$ there exists a natural number $n$ such that $B$ is algebraically isomorphic to $A \oplus {{\mathbf {C}}^n}$.References
- Hans Grauert and Reinhold Remmert, Theory of Stein spaces, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 236, Springer-Verlag, Berlin-New York, 1979. Translated from the German by Alan Huckleberry. MR 580152, DOI 10.1007/978-1-4757-4357-9
- Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0180696 Ha Huy Khoai, On the topology of a class of complex manifolds, Proc. 1st Congress Math., Hanoi, 1971. —, Finiteness of complex analytic spaces, Vietnam Math. J. 1 (1973). —, Finite prolongeability of holomorphic functions on analytic sets, Vietnam Math. J. 3 (1973).
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 330 (1992), 503-508
- MSC: Primary 32E25; Secondary 30H05, 32E10
- DOI: https://doi.org/10.1090/S0002-9947-1992-1025755-7
- MathSciNet review: 1025755