Algebras with non-periodic bounded modules

作者:Erdmann Karin*
来源:Journal of Algebra, 2017, 475: 308-326.
DOI:10.1016/j.jalgebra.2016.05.004

摘要

We study weakly symmetric special biserial algebra 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) introduced in [9].

  • 出版日期2017-4-1