McKinley 发表于 2025-3-21 16:33:32

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禁止,切断 发表于 2025-3-21 20:56:03

Modules, module theory constitutes a good foundation on which to erect the structure of rings and algebras. On the basis of this dictum, we begin our formal development with this chapter on modules. The emphasis is on semisimple modules, since these structures lead to semisimple algebras, the fundamental bu

祸害隐伏 发表于 2025-3-22 01:30:34

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桶去微染 发表于 2025-3-22 06:17:28

The Radical,are semisimple “up to a radical.” In fact, this is the case. All that is missing from a proof is the result that rad . is an ideal. We will establish this fact in Section 4.1. The rest of the chapter is concerned with properties and characterizations of the radical, a theorem about nilpotent algebra

纯朴 发表于 2025-3-22 08:51:58

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索赔 发表于 2025-3-22 14:53:31

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staging 发表于 2025-3-22 18:02:38

Representation of Quivers,P. Gabriel. He gave an explicit construction of the indecomposable modules for certain finite dimensional .-algebras. The most surprising part of Gabriel’s result is a link between the representation theory of algebras and the Dynkin diagrams that occur in the study of semisimple Lie algebras. This

neutral-posture 发表于 2025-3-22 22:20:43

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极小 发表于 2025-3-23 02:42:10

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CRAMP 发表于 2025-3-23 09:37:19

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查看完整版本: Titlebook: Associative Algebras; Richard S. Pierce Textbook 1982 Springer-Verlag New York Inc. 1982 Algebras.Assoziative Algebra.Category theory.Coho