Louis Halle Rowen, Bar-Ilan University, Ramat Gan, Israel

Each part ends with more than 30 pages of exercises, from the basic to the challenging, carefully arranged and labeled according to the chapter (or appendix) to which they related ... a striking and very enjoyable feature of the book is the huge number of digressions: there are frequent pauses to point out noteworthy aspects of the terrain which lies ahead, beyond what can be covered in detail in a book of this sort. The style, layout and precision of the book make it a pleasure to read... -- Mathematical Reviews The book is largely self-contained. ...a valuable textbook and a reliable reference for graduate students. -- MAA Reviews

• Part IV. The structure of ringsIntroduction to the structure of ringsChapter 13. Fundamental concepts in ring theoryChapter 14. Semisimple modules and rings and the Wedderburn-Artin theoremChapter 15. The Jacobson program applied to left Artinian ringsChapter 16. Noetherian rings and the role of prime ringsChapter 17. Algebras in terms of generators and relationsChapter 18. Tensor productsExercises-Part IVPart V. Representations of groups and Lie algebrasIntroduction to representations of groups and Lie algebrasChapter 19. Group representations and group algebrasChapter 20. Characters of finite groupsChapter 21. Lie algebras and other nonassociative algebrasChapter 22. Dynkin diagrams (Coxeter-Dynkin graphs and Coxeter groups)Exercises-Part VPart VI. Representable algebrasIntroduction to representable algebrasChapter 23. Polynomial identities and representable algebrasChapter 24. Central simple algebras and the Brauer groupChapter 25. Homological algebra and categories of modulesChapter 26. Hopf algebrasExercises-Part VI

Louis Halle Rowen, Bar-Ilan University, Ramat Gan, Israel

Each part ends with more than 30 pages of exercises, from the basic to the challenging, carefully arranged and labeled according to the chapter (or appendix) to which they related ... a striking and very enjoyable feature of the book is the huge number of digressions: there are frequent pauses to point out noteworthy aspects of the terrain which lies ahead, beyond what can be covered in detail in a book of this sort. The style, layout and precision of the book make it a pleasure to read... -- Mathematical Reviews The book is largely self-contained. ...a valuable textbook and a reliable reference for graduate students. -- MAA Reviews

• Part IV. The structure of ringsIntroduction to the structure of ringsChapter 13. Fundamental concepts in ring theoryChapter 14. Semisimple modules and rings and the Wedderburn-Artin theoremChapter 15. The Jacobson program applied to left Artinian ringsChapter 16. Noetherian rings and the role of prime ringsChapter 17. Algebras in terms of generators and relationsChapter 18. Tensor productsExercises-Part IVPart V. Representations of groups and Lie algebrasIntroduction to representations of groups and Lie algebrasChapter 19. Group representations and group algebrasChapter 20. Characters of finite groupsChapter 21. Lie algebras and other nonassociative algebrasChapter 22. Dynkin diagrams (Coxeter-Dynkin graphs and Coxeter groups)Exercises-Part VPart VI. Representable algebrasIntroduction to representable algebrasChapter 23. Polynomial identities and representable algebrasChapter 24. Central simple algebras and the Brauer groupChapter 25. Homological algebra and categories of modulesChapter 26. Hopf algebrasExercises-Part VI

Louis Halle Rowen, Bar-Ilan University, Ramat Gan, Israel

Each part ends with more than 30 pages of exercises, from the basic to the challenging, carefully arranged and labeled according to the chapter (or appendix) to which they related ... a striking and very enjoyable feature of the book is the huge number of digressions: there are frequent pauses to point out noteworthy aspects of the terrain which lies ahead, beyond what can be covered in detail in a book of this sort. The style, layout and precision of the book make it a pleasure to read... -- Mathematical Reviews The book is largely self-contained. ...a valuable textbook and a reliable reference for graduate students. -- MAA Reviews

• Part IV. The structure of ringsIntroduction to the structure of ringsChapter 13. Fundamental concepts in ring theoryChapter 14. Semisimple modules and rings and the Wedderburn-Artin theoremChapter 15. The Jacobson program applied to left Artinian ringsChapter 16. Noetherian rings and the role of prime ringsChapter 17. Algebras in terms of generators and relationsChapter 18. Tensor productsExercises-Part IVPart V. Representations of groups and Lie algebrasIntroduction to representations of groups and Lie algebrasChapter 19. Group representations and group algebrasChapter 20. Characters of finite groupsChapter 21. Lie algebras and other nonassociative algebrasChapter 22. Dynkin diagrams (Coxeter-Dynkin graphs and Coxeter groups)Exercises-Part VPart VI. Representable algebrasIntroduction to representable algebrasChapter 23. Polynomial identities and representable algebrasChapter 24. Central simple algebras and the Brauer groupChapter 25. Homological algebra and categories of modulesChapter 26. Hopf algebrasExercises-Part VI