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(2010) Set theory, miscellanea / Mengenlehre, varia, Dordrecht, Springer.

Zermelo 1914

Ulrich Felgner

pp. 274-295

In his work on transcendental numbers Edmond Maillet was led to the question whether it is possible to introduce the notion of an "integral element" in the field ℂ of all complex numbers in analogy to the notions of a rational integer (i.e. an integral element in the field ℚ of all rational numbers) and of an algebraic integer (i.e. an integral element in the field A of all algebraic numbers). More precisely, if ℤ = ">Iℚ is the usual ring of (rational) integers and IA the usual ring of algebraic integers, Maillet asked whether there exists a ring Iℂ of complex numbers.

Publication details

DOI: 10.1007/978-3-540-79384-7_10

Full citation:

Felgner, U. (2010). Zermelo 1914, in Set theory, miscellanea / Mengenlehre, varia, Dordrecht, Springer, pp. 274-295.

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