Titlebook: Noncommutative Algebra; Benson Farb,R. Keith Dennis Textbook 1993 Springer Science+Business Media New York 1993 K-theory.algebra.commutati

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书目名称Noncommutative Algebra影响因子(影响力)




书目名称Noncommutative Algebra影响因子(影响力)学科排名




书目名称Noncommutative Algebra网络公开度




书目名称Noncommutative Algebra网络公开度学科排名




书目名称Noncommutative Algebra被引频次




书目名称Noncommutative Algebra被引频次学科排名




书目名称Noncommutative Algebra年度引用




书目名称Noncommutative Algebra年度引用学科排名




书目名称Noncommutative Algebra读者反馈




书目名称Noncommutative Algebra读者反馈学科排名

arrhythmic

Semisimple Modules & Rings and the Wedderburn Structure Theoremis to express that object in terms of simpler, better understood pieces. For example, the Wedderburn Structure Theorem says that any semisimple ring (we’ll define this later) is isomorphic to a finite product of matrix rings over division rings, each of which is simple. The theory for semisimple mod

DEFT

镀金

The Brauer Groups Theorem shows that . and . are the only finite dimensional central division algebras over .. This kind of classification is optimal in the sense that we have an explicit, easy-to-understand list of all finite dimensional central division algebras over .. Classifying finite dimensional central divi

Fallibility

做方舟

Burnside’s Theorem and Representations of Finite Groupsation theory of finite groups is a vast subject; in this chapter we’ll make a thin beeline right to a famous theorem of Burnside. For a more thorough introduction to the representation theory of finite groups, the reader may consult Serre, ., as well as Fulton and Harris, ..

Carbon-Monoxide

The Global Dimension of a Ringn Chapters 1 and 2 can be considered the zero’th step in the theory of global dimension. Kaplansky, based upon an observation of Schanuel, was the first to set down the dimension theory of rings in an elementary way, without using the powerful machinery of homological algebra. This section is based

围裙

The Brauer Group of a Commutative Ringroup coincides with the “classical” Brauer group (cf. Chapter 4) in the case when . is a field. One of the points of extending the theory to rings is that one can relate Brauer groups of fields to Brauer groups of related rings in exact sequences; one then hopes that this will help compute the class

道学气

Benson Farb,R. Keith Dennisahren das Bestreben besteht, z. B. den Wirkungsgrad der dampftechnischen und elektrischen Anlagen auf das höchstmögliche Maß heraufzubringen, ist bis jetzt dem Wirkungsgrad der Anlagen in den Betrieben so gut wie keine Beachtung geschenkt worden. Es handelt sich hierbei um alle diejenigen industriel

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