PI-varieties associated to full quivers of representations of algebras
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- by Alexei Belov-Kanel, Louis H. Rowen and Uzi Vishne PDF
- Trans. Amer. Math. Soc. 365 (2013), 2681-2722 Request permission
Abstract:
In an earlier paper, we introduced the notion of full quivers of representations of algebras, which are more explicit than quivers of algebras. Here, we consider full quivers (as well as pseudo-quivers) as a combinatoric tool in order to describe PI-varieties of algebras. Each full quiver is naturally associated to a polynomial that encapsulates trace-like properties of the underlying algebra.References
Additional Information
- Alexei Belov-Kanel
- Affiliation: Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel
- Email: belova@macs.biu.ac.il
- Louis H. Rowen
- Affiliation: Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel
- MR Author ID: 151270
- Email: rowen@macs.biu.ac.il
- Uzi Vishne
- Affiliation: Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel
- MR Author ID: 626198
- ORCID: 0000-0003-2760-9775
- Email: vishne@macs.biu.ac.il
- Received by editor(s): May 12, 2011
- Received by editor(s) in revised form: August 31, 2011, and September 20, 2011
- Published electronically: November 20, 2012
- Additional Notes: This research was supported by the Israel Science Foundation (grant No. 1178/06).
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 2681-2722
- MSC (2010): Primary 16R10; Secondary 16R30
- DOI: https://doi.org/10.1090/S0002-9947-2012-05709-6
- MathSciNet review: 3020112