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arXiv · 1601.07480

Algebras with non-periodic bounded modules

Karin Erdmann
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Abstract

We study weakly symmetric special biserial algebras of infinite representation type. We show that usually some socle deformation of such an algebra has non-periodic bounded modules. The exceptions are precisely the algebras whose Brauer graph is a tree with no multiple edges. If the algebra has a non-periodic bounded module then its Hochschild cohomology cannot satisfy the finite generation property (Fg).

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Karin Erdmann. 2016-01-27. Algebras with non-periodic bounded modules. https://arxiv.org/abs/1601.07480

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