词源法
发表于 2025-3-21 19:13:46
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arrhythmic
发表于 2025-3-21 22:19:10
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
发表于 2025-3-22 00:52:38
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镀金
发表于 2025-3-22 05:56:57
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
发表于 2025-3-22 10:33:32
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做方舟
发表于 2025-3-22 15:17:12
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
发表于 2025-3-22 17:29:02
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
发表于 2025-3-22 23:43:15
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
发表于 2025-3-23 02:17:15
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
允许
发表于 2025-3-23 09:04:08
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