JAMB
发表于 2025-3-26 22:09:23
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mechanical
发表于 2025-3-27 02:41:46
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爵士乐
发表于 2025-3-27 07:26:27
Fundamental Definitions of Dimension Theoryoved earlier in this book, before we had the language to describe them: the characterization of dimension zero from Chapter 2 and the properties of integral maps (relative dimension zero) from Chapter 4. To make this chapter and what follows independent of the introductory Chapter 8, we repeat a few definitions.
宽容
发表于 2025-3-27 13:31:15
https://doi.org/10.1007/978-1-4612-5350-1Algebraic Geometry; algebra; algebraic geometry; category theory; cohomology; colimit; commutative algebra
overweight
发表于 2025-3-27 16:34:30
978-0-387-94269-8Springer Science+Business Media New York 1995
Complement
发表于 2025-3-27 21:37:47
Textbook 1995wards 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 connectio
用肘
发表于 2025-3-27 21:57:53
https://doi.org/10.1007/978-94-010-3670-2ld and . = .[., …, .]/., then the completion of . with respect to . = (., …, .) is the ring .[[., …, .]]//.[[., …, .]]. General completions can similarly be defined in terms of formal power series (Exercise 7.11), but we shall give an intrinsic development.
CT-angiography
发表于 2025-3-28 03:48:42
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方舟
发表于 2025-3-28 06:18:40
Completions and Hensel’s Lemmald and . = .[., …, .]/., then the completion of . with respect to . = (., …, .) is the ring .[[., …, .]]//.[[., …, .]]. General completions can similarly be defined in terms of formal power series (Exercise 7.11), but we shall give an intrinsic development.
煤渣
发表于 2025-3-28 12:40:25
Dimension and Codimension Onend some consequences of normality, including a bit of the theory of Dedekind domains; study the length of a one-dimensional ring modulo a principal ideal; and prove that the integral closure of a one-dimensional Noetherian domain is Noetherian.