標(biāo)題: Titlebook: Associative Algebras; Richard S. Pierce Textbook 1982 Springer-Verlag New York Inc. 1982 Algebras.Assoziative Algebra.Category theory.Coho [打印本頁(yè)] 作者: McKinley 時(shí)間: 2025-3-21 16:33
書(shū)目名稱Associative Algebras影響因子(影響力)
作者: 禁止,切斷 時(shí)間: 2025-3-21 20:56
Modules, module theory constitutes a good foundation on which to erect the structure of rings and algebras. On the basis of this dictum, we begin our formal development with this chapter on modules. The emphasis is on semisimple modules, since these structures lead to semisimple algebras, the fundamental bu作者: 禍害隱伏 時(shí)間: 2025-3-22 01:30 作者: 桶去微染 時(shí)間: 2025-3-22 06:17
The Radical,are semisimple “up to a radical.” In fact, this is the case. All that is missing from a proof is the result that rad . is an ideal. We will establish this fact in Section 4.1. The rest of the chapter is concerned with properties and characterizations of the radical, a theorem about nilpotent algebra作者: 純樸 時(shí)間: 2025-3-22 08:51 作者: 索賠 時(shí)間: 2025-3-22 14:53 作者: staging 時(shí)間: 2025-3-22 18:02
Representation of Quivers,P. Gabriel. He gave an explicit construction of the indecomposable modules for certain finite dimensional .-algebras. The most surprising part of Gabriel’s result is a link between the representation theory of algebras and the Dynkin diagrams that occur in the study of semisimple Lie algebras. This 作者: neutral-posture 時(shí)間: 2025-3-22 22:20 作者: 極小 時(shí)間: 2025-3-23 02:42 作者: CRAMP 時(shí)間: 2025-3-23 09:37 作者: harmony 時(shí)間: 2025-3-23 13:18 作者: Parley 時(shí)間: 2025-3-23 15:31 作者: Ornament 時(shí)間: 2025-3-23 18:03
Cyclic Division Algebras,a major role in the theory of central simple algebras. If is a local field, an algebraic number field, or more generally a global field, then every central division algebra over . is cyclic. This fact will be proved later; it is one of the most profound results in this book.作者: 草率女 時(shí)間: 2025-3-23 22:54
Norms, it is natural to look for analogues of the useful ideas in field theory. This chapter is concerned with the counterpart for central simple algebras of the norm of a field extension. These mappings are called reduced norms.作者: brachial-plexus 時(shí)間: 2025-3-24 04:31
Division Algebras over Local Fields, discrete valuation, that is, local fields. The most important property of these algebras is that they contain maximal subfields that are unramified extensions of their centers. It follows that all such algebras are cyclic. Moreover, the classification of the unramified extensions of local fields gi作者: 茁壯成長(zhǎng) 時(shí)間: 2025-3-24 09:07 作者: habitat 時(shí)間: 2025-3-24 12:00
Division Algebras over Transcendental Fields,ndant information about algebras over local and global fields that was presented in the last two chapters, our knowledge about division algebras over transcendental fields is sparse. The most important result on this subject is Tsen’s Theorem. It will be proved in Section 4. Tsen’s Theorem is a gene作者: 博識(shí) 時(shí)間: 2025-3-24 16:45 作者: amygdala 時(shí)間: 2025-3-24 21:08
https://doi.org/10.1007/978-3-030-50086-3 module theory constitutes a good foundation on which to erect the structure of rings and algebras. On the basis of this dictum, we begin our formal development with this chapter on modules. The emphasis is on semisimple modules, since these structures lead to semisimple algebras, the fundamental bu作者: 嬉耍 時(shí)間: 2025-3-25 02:52 作者: 和音 時(shí)間: 2025-3-25 07:21 作者: 母豬 時(shí)間: 2025-3-25 10:19 作者: sparse 時(shí)間: 2025-3-25 15:26
https://doi.org/10.1007/978-3-319-92612-4truction is unique by the Krull—Schmidt Theorem. The next step toward understanding .-modules is therefore in the direction of indecomposable modules, and this topic is currently the center of vigorous activity in ring theory. The aim of this chapter and the next chapter is to introduce the reader t作者: OVERT 時(shí)間: 2025-3-25 19:48
Matthew Alan Le Brun,Ornela DardhaP. Gabriel. He gave an explicit construction of the indecomposable modules for certain finite dimensional .-algebras. The most surprising part of Gabriel’s result is a link between the representation theory of algebras and the Dynkin diagrams that occur in the study of semisimple Lie algebras. This 作者: moratorium 時(shí)間: 2025-3-25 21:06
Valentina Castiglioni,Adrian Francalanzar .-algebras, separability is more restrictive than semisimplicity. One purpose of this chapter is to give an effective characterization of separable algebras over fields. In the course of obtaining this characterization, we will establish some properties of separable algebras that are important eve作者: In-Situ 時(shí)間: 2025-3-26 03:00
Lecture Notes in Computer Sciencey of algebras is introduced. The reader is warned that the ratio of definitions to theorems in the first five sections of the chapter is very high. However, the cohomology of associative algebras plays an important part in the study of central simple algebras, as we will see in Chapter 14. In this c作者: 甜得發(fā)膩 時(shí)間: 2025-3-26 06:02
Lecture Notes in Computer Science The problems encountered in the study of infinite dimensional simple algebras are formidable; they lead to a theory that bears little resemblance to the subject of finite dimensional, simple algebras.作者: 分開(kāi) 時(shí)間: 2025-3-26 10:44 作者: Allodynia 時(shí)間: 2025-3-26 12:38
Petra van den Bos,Marielle Stoelinga compute .(.) for any field .. The key results in this program are: (1) .(.) = ∪.(.), where the union is taken over all Galois extensions .(Corollary 13.5); (2) .(.)? H.(.(.|.),E°) the second cohomology group of .° considered as a Z.(.)-bimodule in a suitable way (Theorem 14.2); (3) the isomorphism 作者: Cardioversion 時(shí)間: 2025-3-26 19:29 作者: 不斷的變動(dòng) 時(shí)間: 2025-3-27 00:42 作者: 事與愿違 時(shí)間: 2025-3-27 04:00 作者: nephritis 時(shí)間: 2025-3-27 07:41 作者: follicular-unit 時(shí)間: 2025-3-27 11:17 作者: CLASP 時(shí)間: 2025-3-27 16:45 作者: 毛細(xì)血管 時(shí)間: 2025-3-27 19:52
Associative Algebras978-1-4757-0163-0Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: NAVEN 時(shí)間: 2025-3-27 22:21
https://doi.org/10.1007/978-3-030-50086-3the reader is introduced to group algebras, endomorphism algebras, matrix algebras, and quaternion algebras. Along the way, there is a brief digression, which contains a hint of the connection between algebraic geometry and the theory of finite dimensional algebras over a field.作者: Explicate 時(shí)間: 2025-3-28 05:37
On Implementable Timed Automataare semisimple “up to a radical.” In fact, this is the case. All that is missing from a proof is the result that rad . is an ideal. We will establish this fact in Section 4.1. The rest of the chapter is concerned with properties and characterizations of the radical, a theorem about nilpotent algebras, and the radicals of group algebras.作者: 基因組 時(shí)間: 2025-3-28 09:39
Lecture Notes in Computer Science The problems encountered in the study of infinite dimensional simple algebras are formidable; they lead to a theory that bears little resemblance to the subject of finite dimensional, simple algebras.作者: 匍匐前進(jìn) 時(shí)間: 2025-3-28 11:54
Minimal Generating Sets for?Semiflowsa major role in the theory of central simple algebras. If is a local field, an algebraic number field, or more generally a global field, then every central division algebra over . is cyclic. This fact will be proved later; it is one of the most profound results in this book.作者: eustachian-tube 時(shí)間: 2025-3-28 15:24 作者: inflame 時(shí)間: 2025-3-28 19:33 作者: SPALL 時(shí)間: 2025-3-29 02:18 作者: 迫擊炮 時(shí)間: 2025-3-29 03:30 作者: 古董 時(shí)間: 2025-3-29 09:57 作者: 無(wú)目標(biāo) 時(shí)間: 2025-3-29 13:09
Cyclic Division Algebras,a major role in the theory of central simple algebras. If is a local field, an algebraic number field, or more generally a global field, then every central division algebra over . is cyclic. This fact will be proved later; it is one of the most profound results in this book.作者: 自傳 時(shí)間: 2025-3-29 18:09 作者: AMEND 時(shí)間: 2025-3-29 20:27
Division Algebras over Number Fields,tral simple algebras over algebraic number fields. This work is associated with the names of several of the greatest heroes of mathematics: Hasse, Brauer, Noether, and Albert. It is based on developments in number theory that are due to Kronecker, Weber, Hilbert, Minkowski, Furtwangler, Artin, Takagi, Hasse, Witt, and many others.作者: Dna262 時(shí)間: 2025-3-30 00:36
https://doi.org/10.1007/978-1-4757-0163-0Algebras; Assoziative Algebra; Category theory; Cohomology; Group theory; Lattice; algebra; homomorphism; ri作者: 大方不好 時(shí)間: 2025-3-30 05:35 作者: Default 時(shí)間: 2025-3-30 08:53
https://doi.org/10.1007/978-3-319-92612-4The indecomposable modules that we encounter in studying algebra structure are very special: they are direct summands of .. In particular, these modules are projective.作者: 遍及 時(shí)間: 2025-3-30 12:37 作者: ARBOR 時(shí)間: 2025-3-30 19:08 作者: offense 時(shí)間: 2025-3-30 21:04 作者: 壁畫 時(shí)間: 2025-3-31 03:14 作者: 不可侵犯 時(shí)間: 2025-3-31 09:04
Galois Cohomology,of (2) lifts to an isomorphism of .(.) = ∪.(.) with the direct limit H.(G(.),.) = . .(.(./.),.°), where F. is the maximal separable extension of (Theorem 14.6). The group .(.(.|.), F.) is one of the . of .. To provide some relief from this morass of formalism, we have inserted an application of Theorem 14.2: a proof that .(.) is a torsion group.作者: 燒瓶 時(shí)間: 2025-3-31 10:02
Adam Shimi,Aurélie Hurault,Philippe Queinnecphism algebras. The main result of the chapter is the Krull-Schmidt Theorem. It leads to the conclusion that finitely generated modules over an Artinian algebra decompose uniquely into direct sums of indecomposable modules. In short, the results of Chapter 2 have close analogues in the theory of modules over Artinian algebras.作者: Exclaim 時(shí)間: 2025-3-31 16:03 作者: 沐浴 時(shí)間: 2025-3-31 17:33
Textbook 1982 thesis. It is written primarily for students who have assimilated substantial portions of a standard first year graduate algebra textbook, and who have enjoyed the experience. The material that is presented here should not be fatal if it is swallowed by persons who are not members of that group. Th作者: Cirrhosis 時(shí)間: 2025-3-31 21:47
0072-5285 the latter thesis. It is written primarily for students who have assimilated substantial portions of a standard first year graduate algebra textbook, and who have enjoyed the experience. The material that is presented here should not be fatal if it is swallowed by persons who are not members of that作者: 砍伐 時(shí)間: 2025-4-1 04:37 作者: Liberate 時(shí)間: 2025-4-1 07:15 作者: Precursor 時(shí)間: 2025-4-1 10:24 作者: Anticonvulsants 時(shí)間: 2025-4-1 17:42 作者: 含沙射影 時(shí)間: 2025-4-1 20:54 作者: 致詞 時(shí)間: 2025-4-2 01:58 作者: 哭得清醒了 時(shí)間: 2025-4-2 03:35
Finite Representation Type, and this topic is currently the center of vigorous activity in ring theory. The aim of this chapter and the next chapter is to introduce the reader to the flavor of two hnes that are being pursued by research mathematicians who are now working on the theory of modules.作者: 博識(shí) 時(shí)間: 2025-4-2 07:54
Separable Algebras,algebras over fields. In the course of obtaining this characterization, we will establish some properties of separable algebras that are important even when they are applied only to semisimple algebras.
