Hochschild homology and trivial extension algebras
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- by Petter Andreas Bergh and Dag Oskar Madsen PDF
- Proc. Amer. Math. Soc. 145 (2017), 1475-1480 Request permission
Abstract:
We prove that if an algebra is either selfinjective, local or graded, then the Hochschild homology dimension of its trivial extension is infinite.References
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Additional Information
- Petter Andreas Bergh
- Affiliation: Department of Mathematical Sciences, NTNU, NO-7491 Trondheim, Norway
- MR Author ID: 776982
- Email: bergh@math.ntnu.no
- Dag Oskar Madsen
- Affiliation: Faculty of Professional Studies, Nord University, NO-8049 Bodø, Norway
- MR Author ID: 639380
- Email: dag.o.madsen@nord.no
- Received by editor(s): October 12, 2015
- Received by editor(s) in revised form: June 16, 2016
- Published electronically: October 20, 2016
- Communicated by: Pham Huu Tiep
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1475-1480
- MSC (2010): Primary 16E40, 16S70
- DOI: https://doi.org/10.1090/proc/13363
- MathSciNet review: 3601540