McKinley 发表于 2025-3-21 16:33:32
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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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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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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. Thisneutral-posture 发表于 2025-3-22 22:20:43
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