Titlebook: Commutative Algebra: Constructive Methods; Finite Projective Mo Henri Lombardi,Claude Quitté Book 2015 Springer Science+Business Media Dord

euphoria

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.

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ALLEY

Extended Projective Modules,inormal), the patching á la Vaserstein-Quillen, Horrocks’ theorems, Quillen-Suslin’s theorem, Bass theorem (finitely generated projective modules over V[X], V a valuation domain are extended) and the Lequain-Simis theorem (generalization of Bass’ theorem for several variables and for arithmetic rings).

Fortuitous

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

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

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 ..

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完全

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

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), [238].