euphoria
发表于 2025-3-25 04:10:36
Finitely Presented Modules,basics of the theory of finitely presented modules. We treat the examples of finitely presented modules over PIDs, over Bezout rings and over zero-dimensional rings. We introduce important invariants that are Fitting ideals, and last section introduces the resultant ideal as a direct application of the Fitting ideals.
离开真充足
发表于 2025-3-25 09:02:35
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伙伴
发表于 2025-3-25 13:41:03
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ALLEY
发表于 2025-3-25 19:01:40
Extended Projective Modules,inormal), the patching á la Vaserstein-Quillen, Horrocks’ theorems, Quillen-Suslin’s theorem, Bass theorem (finitely generated projective modules over V, V a valuation domain are extended) and the Lequain-Simis theorem (generalization of Bass’ theorem for several variables and for arithmetic rings).
Fortuitous
发表于 2025-3-25 22:31:46
Book 2015nowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. .Commutative Algebra: Constructive Methods. will be useful for graduate students, and also researchers, instructors and theoretical computer scientists..
陶醉
发表于 2025-3-26 01:06:23
1572-5553 tals of ring and module theory is required. .Commutative Algebra: Constructive Methods. will be useful for graduate students, and also researchers, instructors and theoretical computer scientists..978-94-024-0399-2978-94-017-9944-7Series ISSN 1572-5553 Series E-ISSN 2192-2950
多骨
发表于 2025-3-26 06:44:04
https://doi.org/10.1007/978-1-349-11383-5Throughout the manuscript, unless explicitly stated otherwise, rings are commutative and unitary, and a ring homomorphism . must satisfy ..
POINT
发表于 2025-3-26 10:38:31
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完全
发表于 2025-3-26 13:23:36
https://doi.org/10.1007/978-1-349-15532-3The first section of this chapter gives general constructive versions of the Nullstellensatz for a polynomial system over a discrete field (we will be able to compare Theorems . (p. 384), . (p. 386) and . (p. 386), to Theorems . (p. 133) and . (p. 134)). We also give a simultaneous Noether positioning theorem (Theorem .).
牛马之尿
发表于 2025-3-26 19:34:38
https://doi.org/10.1007/978-1-349-15532-3Flatness is a fundamental notion of commutative algebra, introduced by Serre in Ann. Inst. Fourier Grenoble 6:1-42. xxi, 444, (1955–1956), .