**Best Reference Books on Module Theory**, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of

**Module Theory Books**with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Module Theory below.

1."Module Theory: Approach to Linear Algebra" by T S Blyth
“Module Theory: Approach to Linear Algebra” Book Review: This book delves into the essential properties of modules and their significance in the field of linear algebra theory. It elucidates the practical applications of module theory and advanced concepts in linear algebra. The topics covered include matrix determinants, canonical forms, and normal transformations. Geared towards upper-level undergraduate and graduate students, this book provides valuable insights and knowledge in the field of linear algebra.
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2."Module Theory, Extending Modules and Generalizations (Frontiers in Mathematics)" by Adnan Tercan and Canan C Yücel
“Module Theory, Extending Modules and Generalizations (Frontiers in Mathematics)” Book Review: This book provides a comprehensive exploration of documented research findings as well as new discoveries in the realm of CS-modules and CS-rings generalizations. It delves into topics such as direct CS-module sums and CS-module-related groups of modules. Additionally, it covers modules for relative ejection, continuous modules, and modules for lifting. Designed for advanced graduate students, this book serves as a valuable resource for delving deeper into the study of CS-modules and related concepts.
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3."Module Theory: Endomorphism rings and direct sum decompositions in some classes of modules" by Alberto Facchini | |

4."Module Theory: Papers and Problems from The Special Session at the University of Washington" by C Faith and S Wiegand | |

5."Ring and Module Theory (Trends in Mathematics)" by Toma Albu
“Ring and Module Theory (Trends in Mathematics)” Book Review: This book presents a compilation of 13 peer-reviewed contributions, comprising exhibition/survey articles and academic papers, covering various areas of Algebra. It encompasses topics such as ring theory, module theory, Hopf algebras, and commutative algebras. With its diverse range of content, this book serves as a valuable guide for graduate students and researchers seeking to explore and delve deeper into the field of Algebra.
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6."Lattice Concepts of Module Theory (Texts in the Mathematical Sciences)" by Grigore Calugareanu
“Lattice Concepts of Module Theory (Texts in the Mathematical Sciences)” Book Review: This book challenges the application of lattice theory in the theory of modules, aiming to present a comprehensive collection of module-theoretical observations. It explores various categories of results, including the roots of lattice theory, generalized module-theoretical findings in modular contexts, and rare generalized module-theoretical results within lattices. With its focus on critical insights and analysis, this book serves as a valuable resource for graduate students and researchers in the field.
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