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Zerlegung in unzerlegbare Factoren. Ideale Zahlen (§ 176.)

In: Dedekinds Theorie der ganzen algebraischen Zahlen

Author

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  • Katrin Scheel

    (Technische Universität Braunschweig, Institut Computational Mathematics AG PDE)

Abstract

Zusammenfassung Das Gebiet $$\mathfrak {o}$$ aller ganzen Zahlen $$\omega $$ , welche in einem Körper $$\varOmega $$ vom Grade n enthalten sind, und mit denen wir uns im Folgenden ausschliesslich beschäftigen, besitzt einige allgemeine Eigenschaften, welche denen der früher behandelten speciellen Gebiete [1] und [1, i] genau entsprechen. Wir wollen diese Analogie zunächst verfolgen, um sodann diejenige wesentlich neue Erscheinung hervorzuheben, welche uns zur Einführung neuer Begriffe nöthigen wird.

Suggested Citation

  • Katrin Scheel, 2020. "Zerlegung in unzerlegbare Factoren. Ideale Zahlen (§ 176.)," Springer Books, in: Dedekinds Theorie der ganzen algebraischen Zahlen, chapter 0, pages 197-205, Springer.
    • Handle: RePEc:spr:sprchp:978-3-658-30928-2_20
    DOI: 10.1007/978-3-658-30928-2_20
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