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In this chapter, we further explore the theory of algebraic structures by introducing outer (or external) operations. The sections on vector spaces, field extensions, and coding serve as applications of the theory, but are presented concisely, primarily using examples. These examples provide an initial overview of the topics and serve as a brief review for those already familiar with the content.

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Act, Vector Space, Extension

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  • 发表日期：

    2025年

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  • Kolja Knauer,
  • Ulrich Knauer

摘要

In this chapter, we further explore the theory of algebraic structures by introducing outer (or external) operations. The sections on vector spaces, field extensions, and coding serve as applications of the theory, but are presented concisely, primarily using examples. These examples provide an initial overview of the topics and serve as a brief review for those already familiar with the content.