Number of homogeneous components of counterexamples to the Dixmier conjecture

Guccione J.A.; Guccione J.J.; Valqui C. · Communications in Algebra (2025) · DOI: 10.1080/00927872.2024.2407991

Resumen

Assume that P and Q are elements of A1 satisfying (Formula presented.). The Dixmier Conjecture for A1 says that they always generate A1. We show that if P is a sum of not more than 4 homogeneous elements of A1 then P and Q generate A1, which generalizes the main result in [10].

Instituciones: Pontificia Universidad Católica del Perú