adequate-intake
发表于 2025-3-28 16:50:10
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任意
发表于 2025-3-28 22:37:35
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披肩
发表于 2025-3-28 23:33:28
0072-5285a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their
栖息地
发表于 2025-3-29 06:47:57
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insightful
发表于 2025-3-29 10:28:33
Soviet Schooling in the Second World Wartails during the first reading; I hope that it will tell you something of what is significant in the theory. In Chapter 9 I have begun the subject again, with a self-contained and more elementary account. None of the actual results and definitions in Chapter 8 will be required for understanding the rest of the book.
affinity
发表于 2025-3-29 13:15:55
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Terrace
发表于 2025-3-29 16:02:00
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cartilage
发表于 2025-3-29 19:58:17
Studies in Soviet History and Societyary continuously. The main result below, Grothendieck’s generic freeness lemma, a consequence of the Noether normalization theorem, implies that if . ⊂ . are domains, then flatness always holds over a nonempty open set of ., so that “most” fibers share common properties.
Debility
发表于 2025-3-30 01:36:22
Filtrations and the Artin-Rees Lemmahe Rees algebra, is treated at the end of the next chapter, and sheds some light on the results we shall prove about the associated graded ring. Chapter 7 will be devoted to a fourth example, the completion. Each is used to get information about . by comparing it with a closely related ring that is simpler in some way.
Hectic
发表于 2025-3-30 05:06:37
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