One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. ...
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A First Course in Noncommutative Rings 2025 pdf epub mobi 电子书 图书描述 Aimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text is suitable not only for use in a graduate course, but also for self-study in the subject by interested ...
This comprehensive two-volume book deals with algebra, broadly conceived. Volume 1 (Chapters 1–6) comprises material for a first year graduate course in algebra, offering the instructor a number of options in designing such a course. Volume 1, provides as well all essential material that studen...
22.RingsofPolynomials76 23.FactorizationofPolynomialsoveraField79 24.NoncommutativeExamples85 25.OrderedRingsandFields87 V.IdealsandFactorRings 26.HomomorphismsandFactorRings89 27.PrimeandMaximalIdeals94 28.Gr¨obnerBasesforIdeals99 iii VI.ExtensionFields ...
In particular, we investigate the rings over which every RD-projective right module is a direct sum of cyclically presented right modules (Proposition 2.1, Theorem 4.7, Theorem 5.11, Corollary 5.12). Occasionally, we focus on the case of finitely generated modules (Theorem 2.3). Our study leads...
关键词: First Course in Abstract Algebra 7th ed John Fraleigh Solutions Manual th ed 资源描述: instructor s solutions manual to accompany a first course in abstract algebra seventh edition john b fraleigh university of rhode island preface this manual contains solutions to all exercises in the text...
Ceken, S., Alkan, M., Smith, P.F.: Second modules over noncommutative rings. Commun. Algebra 41(1), 83–98 (2013) Article MathSciNet MATH Google Scholar Ceken, S., Alkan, M., Smith, P.F.: The dual notion of the prime radical of a module. J. Algebra 392, 255–265 (2013...
Kussin, D., Laking, R.: Cotilting sheaves over weighted noncommutative regular projective curves. Doc. Math. 25, 1029–1077 (2020) Article MathSciNet Google Scholar Laking, R.: Purity in compactly generated derivators and t-structures with Grothendieck hearts. Math. Z. 295(3–4), 1615–...