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Rings and Homology—
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The Story
This concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring structure and homological algebra, the treatment offers advanced undergraduate and graduate students practice in the techniques of both areas.
After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.
non-fiction;mathematical studies;math books;algebra;rings and homology;mathematics;basic algebra;homological algebra;examination of ring structure;structure of semisimple rings;homological theories;functor ext;various projective dimensions;global dimension;duality theory;theoretical;Rings (Algebra); Homology; Algebra, Homological; Semisimple Rings; Quasi-Frobenius Rings
After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.
Reprint of the Holt, Rinehart & Winston, 1964 edition.
Description
This concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring structure and homological algebra, the treatment offers advanced undergraduate and graduate students practice in the techniques of both areas.
After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.
non-fiction;mathematical studies;math books;algebra;rings and homology;mathematics;basic algebra;homological algebra;examination of ring structure;structure of semisimple rings;homological theories;functor ext;various projective dimensions;global dimension;duality theory;theoretical;Rings (Algebra); Homology; Algebra, Homological; Semisimple Rings; Quasi-Frobenius Rings
After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.
Reprint of the Holt, Rinehart & Winston, 1964 edition.
