This book on modern module and non-commutative ring theory starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory.

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This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.

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Mythos Center Books is a research archive connected with Mythos Center, specializing in the areas of folklore, mythology, comparative religions, psychology, sociology, and depth psychology. Established 1990. Please send us with your want lists in these fields. As of 2025, we are dispersing the Mythos Center research collection.

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