Stable rank of down-up algebras

JOURNAL OF ALGEBRA

卷:526

Article

Gallego, Claudia¹  Solotar, Andrea^1,2 

[1] UBA, CONICET, IMAS, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, DF, Argentina

[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, DF, Argentina

关键词: Down-up algebras;    Stably free modules;    Projective modules;    Stable rank;    Krull dimension;    Kmax dimension;   

DOI  :  10.1016/j.jalgebra.2018.02.037

来源: Elsevier

【 摘 要 】

We investigate the behavior of finitely generated projective modules over a down-up algebra. Specifically, we show that every noetherian down-up algebra A(alpha, beta, gamma) has a non-free, stably free right ideal. Further, we compute the stable rank of these algebras using Stafford's Stable Range Theorem and Kmax dimension. (C) 2018 Published by Elsevier Inc.

【 授权许可】

Free