標題: Titlebook: Algebra; Rings, Modules and C Carl Faith Book 1973 Springer-Verlag, Berlin · Heidelberg 1973 Autodesk Maya.Coproduct.Kategorie.Modul.algebr [打印本頁] 作者: Croching 時間: 2025-3-21 19:22
書目名稱Algebra影響因子(影響力)
書目名稱Algebra影響因子(影響力)學科排名
書目名稱Algebra網(wǎng)絡公開度
書目名稱Algebra網(wǎng)絡公開度學科排名
書目名稱Algebra被引頻次
書目名稱Algebra被引頻次學科排名
書目名稱Algebra年度引用
書目名稱Algebra年度引用學科排名
書目名稱Algebra讀者反饋
書目名稱Algebra讀者反饋學科排名
作者: inspiration 時間: 2025-3-21 21:49 作者: Hdl348 時間: 2025-3-22 03:29 作者: 拋媚眼 時間: 2025-3-22 07:35 作者: 獸群 時間: 2025-3-22 11:23 作者: 放棄 時間: 2025-3-22 14:32
Abelian Categorieson 6.17), .. inherits the following properties from .: (4) (finitely) complete; (2) (finite) products; (3) kernels or equalizers; (4) images, sums, or (finite) intersections; (5) normality with epic images; (6) additive; (7) exact; (8) abelian; (9) exact and locally small (assuming . is small). More作者: 種子 時間: 2025-3-22 19:35
General Wedderburn Theoremsbecause many properties of a module are characterizable by properties of its endomorphism ring. Indeed, some modules over certain rings are determined by their endomorphism rings, which is a way of saying that the modules are isomorphic if and only if their endomorphism rings are isomorphic . rings.作者: 不持續(xù)就爆 時間: 2025-3-22 21:14
Semisimple Modules and Homological Dimensionmple Artinian ring is semisimple. Finite ring products of simple Artinian rings are also semisimple. The Wedderburn-Artin theorem implies the converse: Every semisimple ring is isomorphic to a finite product of full matrix rings of various degrees over various fields. These rings are also characteri作者: 防銹 時間: 2025-3-23 04:18 作者: interrogate 時間: 2025-3-23 07:30
Tensor Products and Flat Modules sets, then for each . ∈ . there is a mapping ..: . → ., defined by the formula .. (.) = . (., .) ? . ∈ .. Symmetrically, if . ∈ ., then ..:. → . is defined by the formula .. (.) = . (., .) ?. ∈ .. A mapping .:.×. → . is . in case ..:.→. and ..:. → . are group homomorphisms ?. ∈ .,. ∈ .. A . map .:.作者: grotto 時間: 2025-3-23 12:11
Morita Theorems and the Picard Group of the Picard group Pic (mod-.) of all .-linear auto-equivalences of mod-. for an arbitrary algebra ., and also (in Exercises for Chapter 12, and in Chapter 32) of the Brauer group of a commutative ring .作者: Transfusion 時間: 2025-3-23 17:13 作者: 表否定 時間: 2025-3-23 19:39 作者: Spina-Bifida 時間: 2025-3-23 23:37
Synthesis Lectures on Data Managementy generated projective faithful left .-module over any ring ., and . = End.. then there is a lattice isomorphism . where . is the trace of . in . (Correspondence Theorem for Projective Modules.) This isomorphism sends (., .)-submodules of . into (ideals of .) .. Thus, when . = . (and only then) the two theorems coincide.作者: 充足 時間: 2025-3-24 04:57
Logic and Relational Databases,ng functors, right continuous functors, Freyd’s theorems, module valued adjoints, the tensor functor, flat modules, character modules, adjoints of faithful functors, PopescoGabriel theorem (second version), algebras over commutative rings, semigroup rings, and group rings, free algebras, commutative and noncommutative rings of polynomials.作者: muscle-fibers 時間: 2025-3-24 07:43
Existential Rules: A Graph-Based Viewf (left) exact functors . ? ., the direct limit.is a (left) exact functor . ? .. This implies that a direct limit of a directed family of flat modules in mod-. is flat, for any ring .. A colimit of colimit preserving functors is always colimit preserving (6.22).作者: 書法 時間: 2025-3-24 13:02
Correspondence Theorems for Projective Modules and the Structure of Simple Noetherian Ringsy generated projective faithful left .-module over any ring ., and . = End.. then there is a lattice isomorphism . where . is the trace of . in . (Correspondence Theorem for Projective Modules.) This isomorphism sends (., .)-submodules of . into (ideals of .) .. Thus, when . = . (and only then) the two theorems coincide.作者: 無力更進 時間: 2025-3-24 16:30
Limits, Adjoints, and Algebrasng functors, right continuous functors, Freyd’s theorems, module valued adjoints, the tensor functor, flat modules, character modules, adjoints of faithful functors, PopescoGabriel theorem (second version), algebras over commutative rings, semigroup rings, and group rings, free algebras, commutative and noncommutative rings of polynomials.作者: CODA 時間: 2025-3-24 20:56
Abelian Categoriesf (left) exact functors . ? ., the direct limit.is a (left) exact functor . ? .. This implies that a direct limit of a directed family of flat modules in mod-. is flat, for any ring .. A colimit of colimit preserving functors is always colimit preserving (6.22).作者: 細節(jié) 時間: 2025-3-25 02:02 作者: FEIGN 時間: 2025-3-25 07:04 作者: Favorable 時間: 2025-3-25 10:39 作者: OREX 時間: 2025-3-25 15:43 作者: Genistein 時間: 2025-3-25 17:26
Introduction to Volume Iown structure theory of noncommutative Noetherian simple rings. Chapters 5 and 6 survey limits, limit preserving functors, additive and abelian categories, free algebras, (semi) group and polynomial algebras, and the adjoint functor theorems of Eilenberg, Freyd, Gabriel, Kan, Mitchell, and Watts. These six chapters comprise Part I.作者: perimenopause 時間: 2025-3-25 21:26
Ring and Moduleof mod-., Baer’s criterion for injectivity, enough injectives, and the existence of injective cogenerators of mod-., fully faithful functors, idealizers, orthogonal idempotents and direct decompositions of modules, and fully invariant submodules of a module, including the radical and the socle.作者: Affable 時間: 2025-3-26 01:08 作者: 誤傳 時間: 2025-3-26 04:30 作者: MOT 時間: 2025-3-26 10:36
A. El Hadrami,F. Daayf,I. El Hadramil matrix algebras over . In this case, the set . (.) of degrees of the total matrix algebras is a complete set of invariants of . Thus, 13.7 two finite dimensional semiprime algebras . and . over . are isomorphic if and only if . (.) = . (.).作者: MOAN 時間: 2025-3-26 14:20
Semisimple Modules and Homological Dimension: Every semisimple ring is isomorphic to a finite product of full matrix rings of various degrees over various fields. These rings are also characterized by the Wedderburn-Artin theorem (8.8) as right Artinian rings with no nilpotent ideals. (The condition is right-left symmetric.)作者: accomplishment 時間: 2025-3-26 19:05 作者: 高貴領導 時間: 2025-3-27 00:13
https://doi.org/10.1007/978-3-658-27149-7hism theorems), semigroup, category, functor are introduced in Chapter 1. Products, coproducts, and the free object functors in various categories constitute Chapter 2. Rings, modules, ideals, and the Baer-Eckmann-Schopf notions of injectivity, essential extension, and injective hull are introduced 作者: Debark 時間: 2025-3-27 04:22
Big Data und die Frage nach der Anerkennungtain undefined or primitive objects, called sets, together with symbols and axioms governing their use. A graphic analogy can be made with geometry where there are given undefined objects called points, lines, and planes, together with a collection of axioms relating these objects to each other. An 作者: AORTA 時間: 2025-3-27 06:19
Jason Eisner,Nathaniel W. Filardo simplicity in categories (e.g. simple groups, simple modules, simple rings), representations of simple rings in complete rings of linear transformations (the prelude to the Chevalley-Jacobson density theorem proved in Chapter 19), matrix rings, dual modules, dual basis lemma for projective modules,作者: 潛移默化 時間: 2025-3-27 11:33
Synthesis Lectures on Data Managementrita [58] characterizing similarity of two rings . and ., that is, when there is an equivalence mod-. ≈ mod-. of categories. Morita’s characterization 4.29 predicates the existence of a finitely generated projective module . which is a generator of the category mod-. such that . is isomorphic to End作者: DUCE 時間: 2025-3-27 17:37 作者: Adornment 時間: 2025-3-27 21:05 作者: 不在灌木叢中 時間: 2025-3-28 00:06
Datamining und Computational Financebecause many properties of a module are characterizable by properties of its endomorphism ring. Indeed, some modules over certain rings are determined by their endomorphism rings, which is a way of saying that the modules are isomorphic if and only if their endomorphism rings are isomorphic . rings.作者: 貪婪的人 時間: 2025-3-28 05:40 作者: 悲痛 時間: 2025-3-28 09:15 作者: 路標 時間: 2025-3-28 13:41 作者: Esophagitis 時間: 2025-3-28 14:42
Somaclonal Variation in Date Palm of the Picard group Pic (mod-.) of all .-linear auto-equivalences of mod-. for an arbitrary algebra ., and also (in Exercises for Chapter 12, and in Chapter 32) of the Brauer group of a commutative ring .作者: GREG 時間: 2025-3-28 20:19
A. El Hadrami,F. Daayf,I. El Hadramitheorems for a finite dimensional algebras . over an algebraically closed field . If . has no nilpotent ideals ≠ 0, then . is a finite product of total matrix algebras over . In this case, the set . (.) of degrees of the total matrix algebras is a complete set of invariants of . Thus, 13.7 two finit作者: Alpha-Cells 時間: 2025-3-29 01:11 作者: 心胸開闊 時間: 2025-3-29 05:25
Noetherian Semiprime Ringsand sufficient for a ring . to possess a classical quotient ring: If ., . ∈ ., and if . is regular, then there exist .., .. ∈ ., .. regular, such that ..= .. (see 9.1). If . is commutative, this condition is automatic, and if . is a domain, this is the Ore condition.作者: 無能力 時間: 2025-3-29 10:10 作者: 推測 時間: 2025-3-29 15:23
Morita Theorems and the Picard Group of the Picard group Pic (mod-.) of all .-linear auto-equivalences of mod-. for an arbitrary algebra ., and also (in Exercises for Chapter 12, and in Chapter 32) of the Brauer group of a commutative ring .作者: 雀斑 時間: 2025-3-29 17:25 作者: VOK 時間: 2025-3-29 19:58
Big Data und die Frage nach der AnerkennungThe concepts introduced and explored in this chapter are so fundamental that scarcely any of them can be dispensed with hereafter.作者: 強有力 時間: 2025-3-29 23:53 作者: Anecdote 時間: 2025-3-30 07:51
https://doi.org/10.1007/978-94-007-1318-5Grothendieck [57] introduced the notation for abelian categories which follows:作者: –DOX 時間: 2025-3-30 08:39 作者: 防水 時間: 2025-3-30 13:20 作者: Lyme-disease 時間: 2025-3-30 16:44 作者: audiologist 時間: 2025-3-30 23:51
Grothendieck CategoriesGrothendieck [57] introduced the notation for abelian categories which follows:作者: lacrimal-gland 時間: 2025-3-31 04:55
