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Multiplicative ideal theory has its origin in the algebraic number theory of the nineteenth century, where the ideal-theoretical methods of R. Dedekind and the divisor-theoretic methods of E. E. Kummer were used to investigate the multiplicative structure of the ring of integers of a finite algebraic number field.

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Introduction

  • 章节

  • 发表日期：

    2025年

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  • Franz Halter-Koch,
  • Alfred Geroldinger,
  • Andreas Reinhart

摘要

Multiplicative ideal theory has its origin in the algebraic number theory of the nineteenth century, where the ideal-theoretical methods of R. Dedekind and the divisor-theoretic methods of E. E. Kummer were used to investigate the multiplicative structure of the ring of integers of a finite algebraic number field.