Polynomial identities for quivers via incidence algebras
Abstract We show that the path algebra of a quiver satisfies the same polynomial identities (PI) of an algebra of matrices, if any. In particular, the algebra of matrices is PI‐equivalent to the path algebra of the oriented cycle with vertices.
Authors
- J.D. Chavez
- Allan Berele
- Giovanni Cerulli Irelli (ORCID: https://orcid.org/0000-0002-5678-0427)
- Elena Pascucci (ORCID: https://orcid.org/0009-0000-5057-6671)
Institutions
- Department of Mathematical Sciences (RU)
- Sapienza University of Rome (IT)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-04-21
- DOI
- https://doi.org/10.1112/blms.70369
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Sapienza Università di Roma