4.6 Structure of finite algebras over a field. Examples.

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From the course by Higher School of Economics
Introduction to Galois Theory
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Higher School of Economics

Introduction to Galois Theory

79 ratings
From the lesson
Week 4
This is a digression on commutative algebra. We introduce and study the notion of tensor product of modules over a ring. We prove a structure theorem for finite algebras over a field (a version of the well-known "Chinese remainder theorem").

Meet the Instructors

  • Ekaterina Amerik
    Ekaterina Amerik
    Professor
    Department of Mathematics