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Title: Almost gentle algebras and their trivial extensions
Authors: Green, Edward L.
Schroll, Sibylle
First Published: 23-May-2017
Citation: arXiv:1603.03587 [math.RT]
Abstract: In this paper we define almost gentle algebras. They are monomial special multiserial algebras generalizing gentle algebras. We show that the trivial extension of an almost gentle algebra by its minimal injective co-generator is a symmetric special multiserial algebra and hence a Brauer configuration algebra. Conversely, we show that admissible cuts of Brauer configuration algebras give rise to gentle algebras and as a consequence, we obtain that every Brauer configuration algebra with multiplicity function identically one, is the trivial extension of an almost gentle algebra.
Version: Pre-print
Type: Journal Article
Rights: Copyright © The Author(s), 2017.
Description: 2010 Mathematics Subject Classification. 16G20,
Appears in Collections:Published Articles, Dept. of Mathematics

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