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· 2022· Review

Model Theoretic Algebra with particular emphasis on Fields, Rings, Modules

Christian U. Jensen, Helmut Lenzing

Short summary

This volume bridges model theory and algebra, offering a definitive account of algebraically compact modules, crucial for both fields.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Highlights the connections between model theory and algebra.
  • Features a definitive account of algebraically compact modules.
  • Emphasizes model-theoretic concepts such as axiomizability through examples.
  • Aimed at pure mathematicians, particularly algebraists, ring theorists, logicians, model theorists, and representation theorists.

AI-generated from the title and abstract; the full text is not read.

Abstract

This volume highlights the links between model theory and algebra. The work contains a definitive account of algebraically compact modules, a topic of central importance for both module and model theory. Using concrete examples, particular emphasis is given to model theoretic concepts, such as axiomizability. Pure mathematicians, especially algebraists, ring theorists, logicians, model theorists and representation theorists, should find this an absorbing and stimulating book.

The authors' abstract, as published at the source., 2022 · DOI ↗

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics