Comments:

238 pages , 1999

Abstract:

Lecture notes focused on the noncommutative aspects of the study of rings and modules. "It is intended to complement the book 'Steps in Commutative Algebra', by R. Y. Sharp, which provides excellent coverage of the commutative theory." Also intends to provide the necessary background for the book "An Introduction to Noncommutative Noetherian Rings, by K. R. Goodearl" and R. B. Warfield. From the book contents: "Chapter 0: Introduction 0.1 Some history (a little about algebra; a little about Gottingen) 0.2 Vector spaces (some background for Chapter 2) 0.3 Abelian groups (more background for Chapter 2) Chapter 1: Rings 1.0 Richard Dedekind 1.1 Basic definitions and examples: Problems | Solutions 1.2 Ring homomorphisms: Problems | Solutions 1.3 Localization of integral domains: Problems | Solutions 1.4 Unique factorization: Problems | Solutions 1.5 *Additional noncommutative examples." Chapter 3: Structure of Non-commutative Rings. http://www.math.niu.edu/~beachy/rings_modules/notes/01.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/02.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/03.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/1.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/x11.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/s11.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/x12.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/s13.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/x1.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/s1.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/x21.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/x2.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/s3.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/biblio.pdf http://www.math.niu.edu/~beachy/rings_modules/notes/names_frame.html http://www.math.niu.edu/~beachy/rings_modules/frames_index.html#title

Rights:

Open: Individual chapter PDF files on line FREE downloads for individual study of lectures contained in separate files. http://www.math.niu.edu/~beachy/rings_modules/frames_index.html#title

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