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Infinite length modules / Henning Krause, Claus Michael Ringel, editors.
— Basel : Birkhäuser, c2000. ix, 439 p. : il. ; 24 cm. — (Trends in mathematics)
"This volume presents the invited lectures of a conference ... held at Bielefeld, September 7-11, 1998."
Incluye referencias bibliográficas.
Contenido: 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.
ISBN 3764364130. — ISBN 0817664130 (Boston). — ISBN 9783034895620 (pbk.)
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