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Title: Multiserial and special multiserial algebras and their representations
Authors: Green, E. L.
Schroll, Sibylle
First Published: 30-Sep-2016
Publisher: Elsevier for Academic Press
Citation: Advances in Mathematics, 2016, 302, pp. 1111-1136 (26)
Abstract: In this paper we study multiserial and special multiserial algebras. These algebras are a natural generalization of biserial and special biserial algebras to algebras of wild representation type. We define a module to be multiserial if its radical is the sum of uniserial modules whose pairwise intersection is either 0 or a simple module. We show that all finitely generated modules over a special multiserial algebra are multiserial. In particular, this implies that, in analogy to special biserial algebras being biserial, special multiserial algebras are multiserial. We then show that the class of symmetric special multiserial algebras coincides with the class of Brauer configuration algebras, where the latter are a generalization of Brauer graph algebras. We end by showing that any symmetric algebra with radical cube zero is special multiserial and so, in particular, it is a Brauer configuration algebra.
DOI Link: 10.1016/j.aim.2016.07.006
ISSN: 0001-8708
eISSN: 1090-2082
Version: Publisher Version
Status: Peer-reviewed
Type: Journal Article
Rights: © 2016 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (
Description: MSC 16G20; 16G20; 16D10; 16D50
Appears in Collections:Published Articles, Dept. of Mathematics

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