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Titlebook: Infinite Length Modules; Henning Krause,Claus Michael Ringel Conference proceedings 2000 Springer Basel AG 2000 Finite.Microsoft Access.Vo

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发表于 2025-3-21 19:27:14 | 显示全部楼层 |阅读模式
书目名称Infinite Length Modules
编辑Henning Krause,Claus Michael Ringel
视频videohttp://file.papertrans.cn/465/464636/464636.mp4
丛书名称Trends in Mathematics
图书封面Titlebook: Infinite Length Modules;  Henning Krause,Claus Michael Ringel Conference proceedings 2000 Springer Basel AG 2000 Finite.Microsoft Access.Vo
描述This volume presents the invited lectures of a conference devoted to Infinite Length Modules, held at Bielefeld, September 7-11, 1998. Some additional surveys have been included in order to establish a unified picture. The scientific organization of the conference was in the hands of K. Brown (Glasgow), P. M. Cohn (London), I. Reiten (Trondheim) and C. M. Ringel (Bielefeld). The conference was concerned with the role played by modules of infinite length when dealing with problems in the representation theory of algebras. The investi­ gation of such modules always relies on information concerning modules of finite length, for example simple modules and their possible extensions. But the converse is also true: recent developments in representation theory indicate that a full un­ derstanding of the category of finite dimensional modules, even over a finite dimen­ sional algebra, requires consideration of infinite dimensional, thus infinite length, modules. For instance, the important notion of tameness uses one-parameter fami­ lies of modules, or, alternatively, generic modules and they are of infinite length. If one tries to exhibit a presentation of a module category, it turns out t
出版日期Conference proceedings 2000
关键词Finite; Microsoft Access; Volume; addition; algebra; cohomology; compactness; development; finite group; homo
版次1
doihttps://doi.org/10.1007/978-3-0348-8426-6
isbn_softcover978-3-0348-9562-0
isbn_ebook978-3-0348-8426-6Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightSpringer Basel AG 2000
The information of publication is updating

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发表于 2025-3-21 23:28:10 | 显示全部楼层
Tame Algebras and Degenerations of Modules,mak-Schmidt Theorem. The aim of this paper is to show how infinite dimensional modules arise in two problems: classifications of indecomposable finite dimensional modules and characterizations of degenerations of modules.
发表于 2025-3-22 01:43:48 | 显示全部楼层
Purity, Algebraic Compactness, Direct Sum Decompositions, and Representation Type,s acquired dozens of additional connotations. They have proved notoriously hard to pin down, to judge by the incongruence of the emotional and poetic reactions they have elicited. Here is a small sample:
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Dimension Theory of Noetherian Rings,he audience consisted of experts in the Representation theory of Artin rings and finite dimensional algebras, I decided to concentrate on two dimension functions, Krull dimension and Gelfand-Kirillov dimension, which are generalisations of the notions of artinian and finite dimensional, respectively.
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Bousfield Localization for Representation Theorists,ork much more generally. In particular, the triangulated category can be one of interest to representation theorists, such as a stable module category or the derived category of a module category: since the techniques rely heavily on limiting procedures, however, one is forced to work with infinite dimensional modules.
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Infinite Length Modules. Some Examples as Introduction,st to the quite common attitude of being satisfied with the mere existence, an attitude which indicates the desire to rate such features as unpleasant and to avoid them. In contrast, the phenomena we deal with should be considered as typical and as exciting.
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Modules with Strange Decomposition Properties,mely one that just requires that a certain ring be algebraically closed in the endomorphism ring of the module. As we shall see, in certain cases this method will suffice to construct pathological modules where it seems difficult, if not impossible, for set-theoretic reasons, to prescribe the endomorphism ring more precisely.
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