Extensions of Rings and Modules

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Algebra
Cover of the book Extensions of Rings and Modules by Gary F. Birkenmeier, Jae Keol Park, S Tariq Rizvi, Springer New York
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Author: Gary F. Birkenmeier, Jae Keol Park, S Tariq Rizvi ISBN: 9780387927169
Publisher: Springer New York Publication: July 19, 2013
Imprint: Springer Language: English
Author: Gary F. Birkenmeier, Jae Keol Park, S Tariq Rizvi
ISBN: 9780387927169
Publisher: Springer New York
Publication: July 19, 2013
Imprint: Springer
Language: English

The "extensions" of rings and modules have yet to be explored in detail in a research monograph. This book presents state of the art research and also stimulating new and further research. Broken into three parts, Part I begins with basic notions, terminology, definitions and a description of the classes of rings and modules. Part II considers the transference of conditions between a base ring or module and its extensions. And Part III utilizes the concept of a minimal essental extension with respect to a specific class (a hull).

Mathematical interdisciplinary applications appear throughout. Major applications of the ring and module theory to Functional Analysis, especially C*-algebras, appear in Part III, make this book of interest to Algebra and Functional Analysis researchers. Notes and exercises at the end of every chapter, and open problems at the end of all three parts, lend this as an ideal textbook for graduate or advanced undergradate students.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The "extensions" of rings and modules have yet to be explored in detail in a research monograph. This book presents state of the art research and also stimulating new and further research. Broken into three parts, Part I begins with basic notions, terminology, definitions and a description of the classes of rings and modules. Part II considers the transference of conditions between a base ring or module and its extensions. And Part III utilizes the concept of a minimal essental extension with respect to a specific class (a hull).

Mathematical interdisciplinary applications appear throughout. Major applications of the ring and module theory to Functional Analysis, especially C*-algebras, appear in Part III, make this book of interest to Algebra and Functional Analysis researchers. Notes and exercises at the end of every chapter, and open problems at the end of all three parts, lend this as an ideal textbook for graduate or advanced undergradate students.

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