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2013 | OriginalPaper | Chapter

Brauer–Thrall Theory for Maximal Cohen–Macaulay Modules

Authors : Graham J. Leuschke, Roger Wiegand

Published in: Commutative Algebra

Publisher: Springer New York

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Abstract

The Brauer-Thrall Conjectures, now theorems, were originally stated for finitely generated modules over a finite-dimensional k-algebra. They say, roughly speaking, that infinite representation type implies the existence of lots of indecomposable modules of arbitrarily large k-dimension. These conjectures have natural interpretations in the context of maximal Cohen-Macaulay modules over Cohen-Macaulay local rings. This is a survey of progress on these transplanted conjectures.

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Title: Brauer–Thrall Theory for Maximal Cohen–Macaulay Modules
Authors: Graham J. Leuschke
Roger Wiegand
Publisher: Springer New York
Book: Commutative Algebra
Print ISBN: 978-1-4614-5291-1

Electronic ISBN: 978-1-4614-5292-8

Copyright Year: 2013
DOI: https://doi.org/10.1007/978-1-4614-5292-8_18

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