Infinite length modules / Henning Krause, Claus Michael Ringel, editors.
Series Trends in mathematicsEditor: Basel : Birkhäuser, c2000Descripción: ix, 439 p. : il. ; 24 cmISBN: 3764364130; 0817664130 (Boston); 9783034895620 (pbk.)Tema(s): Modules (Algebra) -- Congresses | Representations of algebras -- CongressesOtra clasificación: 16-06 (16Gxx) Recursos en línea: Table of contentsClaus Michael Ringel, Infinite length modules. Some examples as introductionPaul C. Eklof, Modules with strange decomposition propertiesAlberto Facchini, Failure of the Krull-Schmidt theorem for Artinian modules and serial modulesK. I. Pimenov and A. V. Yakovlev, Artinian modules over a matrix ringRüdiger Göbel, Some combinatorial principles for solving algebraic problemsT. H. Lenagan, Dimension theory of Noetherian ringsVladimir Bavula, Krull, Gelfand-Kirillov, filter, faithful and Schur dimensionsAlex Martsinkovsky, Cohen-Macaulay modules and approximationsNicholas J. Kuhn, The generic representation theory of finite fields: a survey of basic structureGeoffrey M. L. Powell, On Artinian objects in the category of functors between $ bold F_2$-vector spacesLionel Schwartz, Unstable modules over the Steenrod algebra, functors, and the cohomology of spacesD. J. Benson, Infinite dimensional modules for finite groupsJeremy Rickard, Bousfield localization for representation theoristsJon F. Carlson, The thick subcategory generated by the trivial moduleAidan Schofield, Birational classification of moduli spacesGrzegorz Zwara, Tame algebras and degenerations of modulesRaymundo Bautista, On some tame and discrete families of modulesBirge Huisgen-Zimmermann, Purity, algebraic compactness, direct sum decompositions, and representation typeMike Prest, Topological and geometric aspects of the Ziegler spectrumHenning Krause, Finite versus infinite dimensional representations : a new definition of tamenessHelmut Lenzing, Invariance of tameness under stable equivalence: Krause's theoremJan Schröer, The Krull-Gabriel dimension of an algebra. Open problems and conjecturesSverre O. Smalø, Homological differences between finite and infinite dimensional representations of algebras.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 16 In43 (Browse shelf) | Available | A-7703 | |||
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| 16 H572t Topics in ring theory / | 16 ICRA-6 Representations of algebras : | 16 ICRA-8 Algebras and modules II : | 16 In43 Infinite length modules / | 16 J17 The theory of rings / | 16 J17s Structure of rings / | 16 K18 Clifford theory for group representations / |
"This volume presents the invited lectures of a conference ... held at Bielefeld, September 7-11, 1998."
Incluye referencias bibliográficas.
Claus Michael Ringel, Infinite length modules. Some examples as introduction -- Paul C. Eklof, Modules with strange decomposition properties -- Alberto Facchini, Failure of the Krull-Schmidt theorem for Artinian modules and serial modules -- K. I. Pimenov and A. V. Yakovlev, Artinian modules over a matrix ring -- Rüdiger Göbel, Some combinatorial principles for solving algebraic problems -- T. H. Lenagan, Dimension theory of Noetherian rings -- Vladimir Bavula, Krull, Gelfand-Kirillov, filter, faithful and Schur dimensions -- Alex Martsinkovsky, Cohen-Macaulay modules and approximations -- Nicholas J. Kuhn, The generic representation theory of finite fields: a survey of basic structure -- Geoffrey M. L. Powell, On Artinian objects in the category of functors between $ bold F_2$-vector spaces -- Lionel Schwartz, Unstable modules over the Steenrod algebra, functors, and the cohomology of spaces -- D. J. Benson, Infinite dimensional modules for finite groups -- Jeremy Rickard, Bousfield localization for representation theorists -- Jon F. Carlson, The thick subcategory generated by the trivial module -- Aidan Schofield, Birational classification of moduli spaces -- Grzegorz Zwara, Tame algebras and degenerations of modules -- Raymundo Bautista, On some tame and discrete families of modules -- Birge Huisgen-Zimmermann, Purity, algebraic compactness, direct sum decompositions, and representation type -- Mike Prest, Topological and geometric aspects of the Ziegler spectrum -- Henning Krause, Finite versus infinite dimensional representations : a new definition of tameness -- Helmut Lenzing, Invariance of tameness under stable equivalence: Krause's theorem -- Jan Schröer, The Krull-Gabriel dimension of an algebra. Open problems and conjectures -- Sverre O. Smalø, Homological differences between finite and infinite dimensional representations of algebras.
MR, 2001f:16002
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