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Arnautov, V. I.

Extending locally bounded field topologies to a simple transcendental extension. (English) Zbl 0512.12016

Algebra Logic 20, 334-341 (1982).
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MSC:

12J05 Normed fields
12F20 Transcendental field extensions

Keywords:

simple transcendental extension; first axiom of countability; continuation of locally bounded topology

Citations:

Zbl 0504.12023
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Full Text: DOI

References:

[1] V. I. Arnautov and V. N. Vizitiu, ”Extending locally bounded field topologies to algebraic extension fields,” Izv. Akad. Nauk MSSR, Ser. Fiz.-Mat. Tekh. Nauk, No. 2 (1974). · Zbl 0306.12108
[2] V. I. Vizitiu, ”Extensions ofm-topologies of commutative rings,” Mat. Issled.,48, 24–39 (1978). · Zbl 0428.13012
[3] L. A. Hinrichs, ”The existence of topologies of field extensions,” Trans. Am. Math. Soc.,113, No. 3, 397–405 (1964). · Zbl 0197.31702 · doi:10.1090/S0002-9947-1964-0169848-8
[4] K. P. Podewski, ”Transcendental extensions of field topologies on countable fields,” Proc. Am. Math. Soc.,39, No. 1, 39–41 (1973). · Zbl 0268.12103 · doi:10.1090/S0002-9939-1973-0311634-0
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