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Infinity_hunter
Infinity_hunter
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I am studying Introductory Algebraic Number Theory written by S. Alaca and K. Williams.

The authors mention the theorem concerning an integral basis for pure cubic fields but do not provide proof.

However, the original paper is not in English. The reference given in the book is

R. Dedekind, Uber die Anzahl der Idealklassen in reinen kubischen Zahlk ¨ orpern, ¨ Journal fur die reine und angewandte Mathematik 121 (1900), 40 ¨ –123. (Gesammelte Mathematische Werke II, pp. 148–233, Vieweg, Wiesbaden, 1931.

I am interested in reading the original paper. Where can I find the translation of this paper to the language of English (or a book containing the same theorem in English)?

I am studying Introductory Algebraic Number Theory written by S. Alaca and K. Williams.

The authors mention the theorem concerning an integral basis for pure cubic fields but do not provide proof.

However, the original paper is not in English. The reference given in the book is

R. Dedekind, Uber die Anzahl der Idealklassen in reinen kubischen Zahlk ¨ orpern, ¨ Journal fur die reine und angewandte Mathematik 121 (1900), 40 ¨ –123. (Gesammelte Mathematische Werke II, pp. 148–233, Vieweg, Wiesbaden, 1931.

I am interested in reading the original paper. Where can I find the translation of this paper to the language of English (or a book containing the theorem in English)?

I am studying Introductory Algebraic Number Theory written by S. Alaca and K. Williams.

The authors mention the theorem concerning an integral basis for pure cubic fields but do not provide proof.

However, the original paper is not in English. The reference given in the book is

R. Dedekind, Uber die Anzahl der Idealklassen in reinen kubischen Zahlk ¨ orpern, ¨ Journal fur die reine und angewandte Mathematik 121 (1900), 40 ¨ –123. (Gesammelte Mathematische Werke II, pp. 148–233, Vieweg, Wiesbaden, 1931.

I am interested in reading the original paper. Where can I find the translation of this paper to the language of English (or a book containing the same theorem in English)?

Source Link
Infinity_hunter
Infinity_hunter
  • 249
  • 1
  • 8

Translation of a paper by Dedekind (an integral basis for pure cubic fields)

I am studying Introductory Algebraic Number Theory written by S. Alaca and K. Williams.

The authors mention the theorem concerning an integral basis for pure cubic fields but do not provide proof.

However, the original paper is not in English. The reference given in the book is

R. Dedekind, Uber die Anzahl der Idealklassen in reinen kubischen Zahlk ¨ orpern, ¨ Journal fur die reine und angewandte Mathematik 121 (1900), 40 ¨ –123. (Gesammelte Mathematische Werke II, pp. 148–233, Vieweg, Wiesbaden, 1931.

I am interested in reading the original paper. Where can I find the translation of this paper to the language of English (or a book containing the theorem in English)?