Title | Infinite Length Modules [electronic resource] / edited by Henning Krause, Claus Michael Ringel |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2000 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8426-6 |
Descript | IX, 439 p. online resource |
Infinite length modules. Some Examples as Introduction -- Modules with strange decomposition properties -- Failure of the Krull-Schmidt theorem for artinian modules and serial modules -- Artinian modules over a matrix ring -- Some combinatorial principles for solving algebraic problems -- Dimension theory of noetherian rings -- Krull, Gelfand-Kirillov, Filter, Faithful and Schur dimensions -- Cohen-Macaulay modules and approximations -- The generic representation theory of finite fields A survey of basic structures -- On artinian objects in the category of functors between $${{\mathbb{F}}_{2}} $$ -vector spaces -- Unstable modules over the Steenrod algebra, functors, and the cohomology of spaces -- Infinite dimensional modules for finite groups -- Bousfield localization for representation theoretists -- The thick subcategory generated by the trivial module -- Birational classification of moduli spaces -- Tame algebras and degenerations of modules -- On some tame and discrete families of modules -- Purity, algebraic compactness, direct sum decompositions, and representation type -- Topological and geometrical aspects of the Ziegler spectrum -- Finite versus infinite dimensional representations A new definition of tameness -- Invariance of tameness under stable equivalence:Krauseโs theorem -- The Krull-Gabriel dimension of an algebra Open problems and conjectures -- Homological differences between finite and infinite dimensional representations of algebras