Titlebook: Commutative Algebra; with a View Toward A David Eisenbud Textbook 1995 Springer Science+Business Media New York 1995 Algebraic Geometry.alg

JAMB

mechanical

爵士乐

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

https://doi.org/10.1007/978-1-4612-5350-1Algebraic Geometry; algebra; algebraic geometry; category theory; cohomology; colimit; commutative algebra

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978-0-387-94269-8Springer Science+Business Media New York 1995

Complement

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

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.

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方舟

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

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.