Rings and Homology (Dover Books on Mathematics)
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Rings and Homology (Dover Books on Mathematics)
Book Details
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Author: James Jans
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Publisher: Dover
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Binding: Paperback
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Number of Pages: 96
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Release Date: 27-02-2015
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ISBN: 9780486789972
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Package Dimensions: 9.0 x 6.0 x 0.4 inches
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Languages: English
About The Book
This concise text is designed for advanced undergraduate and graduate students in mathematics who have completed a basic college course in algebra. Combining elements of ring theory and homological algebra, it offers an introduction to these topics and allows students to develop expertise in both areas.
The book begins with a brief review of basic concepts before diving into the structure of rings, particularly focusing on semisimple rings and those with the minimum condition. Subsequent chapters explore elementary homological theories, including the functor Ext, projective dimensions, global dimension, and duality theory.
Each chapter is structured with clear explanations, and exercises are provided at the end of each section to reinforce learning and provide practice in the techniques discussed. This text is perfect for students looking to strengthen their understanding of algebraic structures and gain practical experience with homological methods.
