作者: 免費(fèi) 時(shí)間: 2025-3-21 22:52
Finitely Presented Modules,esented modules is a slightly more abstract, and at times more profitable, way to approach the subject of systems of linear equations. We provide the basics of the theory of finitely presented modules. We treat the examples of finitely presented modules over PIDs, over Bezout rings and over zero-dim作者: interlude 時(shí)間: 2025-3-22 02:49 作者: Cuisine 時(shí)間: 2025-3-22 08:14 作者: 弓箭 時(shí)間: 2025-3-22 12:35
Finitely Generated Projective Modules, 2, of finitely generated projective modules as locally free modules. Section?. is dedicated to an elementary theory of the rank which does not require prime ideals. In Sect.?. we give some simple applications of the local structure theorem. Section?. is an introduction to Grassmannians. In Sect.?. we 作者: Tremor 時(shí)間: 2025-3-22 13:36
The Number of Generators of a Module,due in their original version to Kronecker, Bass, Serre, Forster and Swan, regard the number of radical generators of a finitely generated ideal, the number of generators of a module, the possibility of producing a free submodule as a direct summand in a module, and the possibility of simplifying is作者: Tremor 時(shí)間: 2025-3-22 18:36
The Local-Global Principle,due in their original version to Kronecker, Bass, Serre, Forster and Swan, regard the number of radical generators of a finitely generated ideal, the number of generators of a module, the possibility of producing a free submodule as a direct summand in a module, and the possibility of simplifying is作者: rods366 時(shí)間: 2025-3-23 00:44
Extended Projective Modules,e extended from the base ring. We especially treat Traverso-Swan’s theorem (rank one projective modules over R[X] are extended if and only if R is seminormal), the patching á la Vaserstein-Quillen, Horrocks’ theorems, Quillen-Suslin’s theorem, Bass theorem (finitely generated projective modules over作者: 蕨類 時(shí)間: 2025-3-23 03:03
Finitely Generated Projective Modules, 2,introduce the fundamental and difficult problem of classifying finitely generated projective modules over a fixed ring. Section?. presents a nontrivial example for which this classification can be obtained.作者: Essential 時(shí)間: 2025-3-23 07:18
The Number of Generators of a Module,omorphisms. Decisive progress was made by R. Heitmann who proved how to get rid of Noetherian hypotheses. Further progress was made by T. Coquand who proved how to obtain all the results, sometimes in a stronger form, by constructive and elementary proofs.作者: glowing 時(shí)間: 2025-3-23 11:01 作者: 爆炸 時(shí)間: 2025-3-23 16:48 作者: charisma 時(shí)間: 2025-3-23 20:51
Sowing Legume Seeds, Reaping Cashintroduce the fundamental and difficult problem of classifying finitely generated projective modules over a fixed ring. Section?. presents a nontrivial example for which this classification can be obtained.作者: Antecedent 時(shí)間: 2025-3-24 01:05
Soil Carbon Sequestration and Organic Wastesomorphisms. Decisive progress was made by R. Heitmann who proved how to get rid of Noetherian hypotheses. Further progress was made by T. Coquand who proved how to obtain all the results, sometimes in a stronger form, by constructive and elementary proofs.作者: COST 時(shí)間: 2025-3-24 04:35 作者: 我們的面粉 時(shí)間: 2025-3-24 10:21 作者: 認(rèn)識(shí) 時(shí)間: 2025-3-24 11:24 作者: AV-node 時(shí)間: 2025-3-24 18:25 作者: 流浪者 時(shí)間: 2025-3-24 21:06
The Soviet Economic Growth Record algorithmic treatment because of the negation contained in “non-invertible elements.” This is the reason why we adopt the definition given on p. 201 in constructive mathematics: if the sum of two elements is invertible, one of the two is invertible.作者: 乏味 時(shí)間: 2025-3-25 00:27 作者: euphoria 時(shí)間: 2025-3-25 04:10
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.作者: 離開真充足 時(shí)間: 2025-3-25 09:02 作者: 伙伴 時(shí)間: 2025-3-25 13:41 作者: ALLEY 時(shí)間: 2025-3-25 19:01
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).作者: Fortuitous 時(shí)間: 2025-3-25 22:31
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..作者: 陶醉 時(shí)間: 2025-3-26 01:06
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 作者: 多骨 時(shí)間: 2025-3-26 06:44
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?..作者: POINT 時(shí)間: 2025-3-26 10:38 作者: 完全 時(shí)間: 2025-3-26 13:23
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 .).作者: 牛馬之尿 時(shí)間: 2025-3-26 19:34
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].作者: FLIC 時(shí)間: 2025-3-26 22:44
Soviet Agrarian Institutions and Interests,This chapter begins with an introductory section which fixes the formal algebraic framework of distributive lattices and of Boolean algebras.作者: 大溝 時(shí)間: 2025-3-27 05:11
Soviet Agrarian Institutions and Interests,The usual definitions of Dedekind ring do not lend themselves to an algorithmic treatment.作者: demote 時(shí)間: 2025-3-27 07:15 作者: 和平主義者 時(shí)間: 2025-3-27 10:13 作者: 軟膏 時(shí)間: 2025-3-27 15:48
Examples,Throughout the manuscript, unless explicitly stated otherwise, rings are commutative and unitary, and a ring homomorphism . must satisfy?..作者: CURB 時(shí)間: 2025-3-27 20:35 作者: 痛打 時(shí)間: 2025-3-27 21:55 作者: 沉著 時(shí)間: 2025-3-28 03:22
Flat Modules,Flatness is a fundamental notion of commutative algebra, introduced by Serre in?Ann. Inst. Fourier Grenoble 6:1-42. xxi, 444, (1955–1956), [238].作者: Derogate 時(shí)間: 2025-3-28 08:30
Distributive Lattices Lattice-Groups,This chapter begins with an introductory section which fixes the formal algebraic framework of distributive lattices and of Boolean algebras.作者: Antagonism 時(shí)間: 2025-3-28 13:46
,Prüfer and Dedekind Rings,The usual definitions of Dedekind ring do not lend themselves to an algorithmic treatment.作者: ALT 時(shí)間: 2025-3-28 17:26
Krull Dimension,In this chapter we introduce the Krull dimension in its elementary constructive version and we compare it to the corresponding classical notion.作者: overhaul 時(shí)間: 2025-3-28 19:33 作者: 修正案 時(shí)間: 2025-3-29 01:58 作者: 吞吞吐吐 時(shí)間: 2025-3-29 06:29 作者: MUTED 時(shí)間: 2025-3-29 08:17
https://doi.org/10.1007/978-94-017-9944-7Commutative Algebra; Constructive Methods; Dedekind-Mertens Lemma; Finitely Generated Projective Module作者: deciduous 時(shí)間: 2025-3-29 13:33
978-94-024-0399-2Springer Science+Business Media Dordrecht 2015作者: 忘恩負(fù)義的人 時(shí)間: 2025-3-29 17:01 作者: 自負(fù)的人 時(shí)間: 2025-3-29 21:45
The Collision with Third-World Demandslace a few years beforehand. Laplace’s proof is itself remarkable as it is “purely algebraic:” it claims only two very elementary properties for real numbers: the existence of the square root of a non-negative number and that of a zero for a polynomial of odd degree.作者: chiropractor 時(shí)間: 2025-3-30 03:54 作者: 抗原 時(shí)間: 2025-3-30 07:44 作者: 規(guī)范要多 時(shí)間: 2025-3-30 10:27 作者: vocation 時(shí)間: 2025-3-30 13:16
Ideological and Historical Backgroundebras which are finitely generated projective modules over the base ring, we call them strictly finite algebras. Section?. is a brief introduction to finitely presented algebras, by insisting on the case of algebras which are integral over the base ring. In Sects.?. and ., we introduce the neighbori作者: 土坯 時(shí)間: 2025-3-30 17:06
The Soviet Economic Growth Recordal. This second definition has the advantage of being simpler (no quantification over the set of ideals). However, it lends itself fairly poorly to an algorithmic treatment because of the negation contained in “non-invertible elements.” This is the reason why we adopt the definition given on p. 201 作者: 官僚統(tǒng)治 時(shí)間: 2025-3-30 21:43 作者: 使苦惱 時(shí)間: 2025-3-31 03:31
Soil Carbon Sequestration and Organic Wastesdue in their original version to Kronecker, Bass, Serre, Forster and Swan, regard the number of radical generators of a finitely generated ideal, the number of generators of a module, the possibility of producing a free submodule as a direct summand in a module, and the possibility of simplifying is作者: Manifest 時(shí)間: 2025-3-31 05:12 作者: 誓言 時(shí)間: 2025-3-31 10:05 作者: cyanosis 時(shí)間: 2025-3-31 13:29 作者: ASTER 時(shí)間: 2025-3-31 20:35 作者: 細(xì)絲 時(shí)間: 2025-3-31 22:00 作者: bourgeois 時(shí)間: 2025-4-1 02:35
