2014/01/20 by A. Grishkov, Grishkov, A., Regilene Oliveira +3 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR)
paper · pdf · doi:10.48550/arxiv.1401.5114
openalex publication_date 2014/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a finitely generated subgroup G of a ring R we provide a finite subset of G such that if each element of this set satisfies some cubic polynomial equation in one variable over the center Z of R then the subring generated by G has finite Z-rank. We specialize our considerations to the case where the polynomial equations are equal to (x-1)3=0.