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A first course in noncommutative rings. 2nd ed. (English) Zbl 0980.16001
Graduate Texts in Mathematics. 131. New York, NY: Springer. xix, 385 p. DM 106.89, sFr. 94.16, £ 37.00, $ 49.95 /pbk; DM 181.79, sFr. 156.76, £ 62.50, $ 79.95 /hbk (2001).
This is the second edition of the textbook with the same title (1991; Zbl 0728.16001). From the author’s preface to the second edition: In this new edition of “First Course”, the entire text has been retyped, some proofs were rewritten, and numerous improvements in the exposition have been included. The original chapters and sections have remained unchanged, with exception of an Appendix (on uniserial modules) to § 20. The original exercises in the first edition have been replaced by the 400 exercises in the problem book [{\it T. Y. Lam}, Exercises in classical ring theory, Springer-Verlag (1995; Zbl 0823.16001)], and I have added at least 30 more in this edition for the convenience of the reader.

16-01Textbooks (associative rings and algebras)
16D70Structure and classification of associative ring and algebras
16D60Simple and semisimple modules, primitive rings and ideals (associative rings and algebras)
16L30Noncommutative local and semilocal rings, perfect rings
16W60Filtrations and valuations, etc. (associative rings and algebras)