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標題: Titlebook: Basic Representation Theory of Algebras; Ibrahim Assem,Flávio U. Coelho Textbook 2020 Springer Nature Switzerland AG 2020 Almost split seq [打印本頁]

作者: 傷害    時間: 2025-3-21 17:21
書目名稱Basic Representation Theory of Algebras影響因子(影響力)




書目名稱Basic Representation Theory of Algebras影響因子(影響力)學科排名




書目名稱Basic Representation Theory of Algebras網(wǎng)絡(luò)公開度




書目名稱Basic Representation Theory of Algebras網(wǎng)絡(luò)公開度學科排名




書目名稱Basic Representation Theory of Algebras被引頻次




書目名稱Basic Representation Theory of Algebras被引頻次學科排名




書目名稱Basic Representation Theory of Algebras年度引用




書目名稱Basic Representation Theory of Algebras年度引用學科排名




書目名稱Basic Representation Theory of Algebras讀者反饋




書目名稱Basic Representation Theory of Algebras讀者反饋學科排名





作者: 有權(quán)威    時間: 2025-3-21 23:31

作者: 調(diào)味品    時間: 2025-3-22 01:02
Constructing almost split sequences,for the understanding of the radical of a module category. However, we did not say much about the explicit construction of almost split sequences, even though we pointed out that the proof of Theorem . suggests the idea of a construction. Carrying out this construction in practice is quite difficult
作者: 手勢    時間: 2025-3-22 05:25

作者: 裝入膠囊    時間: 2025-3-22 11:37
Endomorphism algebras, algebra of some “well-chosen” module. For instance, the classical Morita theorem asserts that, given a progenerator . of the module category of an algebra ., that is, a projective module . that is also a generator of ., the categories . and . are equivalent. This implies that, from the point of vie
作者: Malleable    時間: 2025-3-22 16:42
Representation-finite algebras,s representation-finite or not, and, if this was the case, of computing all its (isoclasses of) indecomposable modules. Indeed, it was believed that this class of algebras would be relatively easy to classify and that their indecomposable modules have a relatively simple structure. This approach was
作者: 鉆孔    時間: 2025-3-22 20:07
0072-5285 ations that support its approach.Can be covered in a one-semThis textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander–Reiten theory and the study of the radical of a module category. It starts by introducing and describing several
作者: LASH    時間: 2025-3-23 00:03
Textbook 2020tudy of the radical of a module category. It starts by introducing and describing several characterisations of the radical of a module category, then presents the central concepts of irreducible morphisms and almost split sequences, before providing the definition of the Auslander–Reiten quiver, whi
作者: 畏縮    時間: 2025-3-23 04:50
Linear Aerodynamics of Wings and Bodies,nd explain how it can be used to compute examples. We also introduce two classes of algebras that are extensively used later on; namely, Nakayama algebras and hereditary algebras. In this second section, in contrast to the first, complete proofs are given.
作者: hematuria    時間: 2025-3-23 05:38
https://doi.org/10.1007/978-1-4612-2824-0. We define and study irreducible morphisms and almost split sequences in Section II.2. We prove in Section II.3 the existence theorem for almost split sequences and we proceed to apply these sequences to the study of the radical in Section II.4.
作者: Aspirin    時間: 2025-3-23 10:10

作者: Culpable    時間: 2025-3-23 14:41
The radical and almost split sequences,. We define and study irreducible morphisms and almost split sequences in Section II.2. We prove in Section II.3 the existence theorem for almost split sequences and we proceed to apply these sequences to the study of the radical in Section II.4.
作者: motivate    時間: 2025-3-23 21:24
https://doi.org/10.1007/978-1-4612-2824-0nstruction procedure for the simplest Auslander–Reiten quivers, and study the shape of some of their connected components. In the third section, we show how the Auslander–Reiten quiver can be used for computing radical morphisms, and in the fourth, we compute the Auslander–Reiten quiver of the Kronecker algebra.
作者: Initiative    時間: 2025-3-24 02:00
High Angle of Attack Aerodynamics to the other. This approach, initiated with the projectivisation procedure, much used by Auslander and his school, culminated in the now very important tilting theory. The aim of this chapter is to present these topics.
作者: 燒瓶    時間: 2025-3-24 03:37
,The Auslander–Reiten quiver of an algebra,nstruction procedure for the simplest Auslander–Reiten quivers, and study the shape of some of their connected components. In the third section, we show how the Auslander–Reiten quiver can be used for computing radical morphisms, and in the fourth, we compute the Auslander–Reiten quiver of the Kronecker algebra.
作者: conscribe    時間: 2025-3-24 10:04

作者: 治愈    時間: 2025-3-24 14:09

作者: Minikin    時間: 2025-3-24 16:11
Constructing almost split sequences,ow to apply these results to construct examples of almost split sequences. In the final Section III.4, we relate the Auslander–Reiten translates of a given module over an algebra to that over a quotient algebra.
作者: Fluctuate    時間: 2025-3-24 21:17
Representation-finite algebras,not have a similar theory for studying representation-infinite algebras, but the ideas and techniques developed for representation-finite algebras still show their usefulness when applied to the understanding of new classes. The aim of this chapter is to prove some of the most important known result
作者: 聚集    時間: 2025-3-24 23:19
Textbook 2020ting to learn the fundamentals of this rapidly growing field. A graduate course innon-commutative or homological algebra, which is standard in most universities, is a prerequisite for readers of this book..
作者: 逃避現(xiàn)實    時間: 2025-3-25 03:36

作者: 樸素    時間: 2025-3-25 09:45
High Angle of Attack Aerodynamicsnot have a similar theory for studying representation-infinite algebras, but the ideas and techniques developed for representation-finite algebras still show their usefulness when applied to the understanding of new classes. The aim of this chapter is to prove some of the most important known result
作者: prostatitis    時間: 2025-3-25 14:13

作者: CYT    時間: 2025-3-25 19:34

作者: Medicaid    時間: 2025-3-25 22:35
https://doi.org/10.1007/978-1-4612-2824-0ain working tool in this book is the notion of almost split sequences. It arose from an attempt to understand the morphisms lying in the radical of a module category. From this attempt, Auslander and Reiten extracted the notions of irreducible morphisms and almost split sequences, which allow all ir
作者: Type-1-Diabetes    時間: 2025-3-26 00:11

作者: Tractable    時間: 2025-3-26 06:26

作者: Ovulation    時間: 2025-3-26 10:24
High Angle of Attack Aerodynamics algebra of some “well-chosen” module. For instance, the classical Morita theorem asserts that, given a progenerator . of the module category of an algebra ., that is, a projective module . that is also a generator of ., the categories . and . are equivalent. This implies that, from the point of vie
作者: 偶然    時間: 2025-3-26 16:12
High Angle of Attack Aerodynamicss representation-finite or not, and, if this was the case, of computing all its (isoclasses of) indecomposable modules. Indeed, it was believed that this class of algebras would be relatively easy to classify and that their indecomposable modules have a relatively simple structure. This approach was
作者: beta-carotene    時間: 2025-3-26 20:27

作者: Aerate    時間: 2025-3-26 21:42

作者: Canvas    時間: 2025-3-27 01:46

作者: senile-dementia    時間: 2025-3-27 08:24

作者: 者變    時間: 2025-3-27 11:23

作者: Generic-Drug    時間: 2025-3-27 17:38

作者: 蒼白    時間: 2025-3-27 19:39

作者: NOTCH    時間: 2025-3-28 00:43
computer programs on Riemannian manifolds in a form suitable for applied mathematicians, scientists and engineers. It contains mathematical information on these subjects and applications distributed in seven chapters whose topics are close to my own areas of research: Metric properties of Riemannia




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