Degree estimate for subalgebras

JOURNAL OF ALGEBRA

卷:362

Article

Li, Yun-Chang¹  Yu, Jie-Tai¹ 

[1] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

关键词: Degree estimate;    Subalgebras;    Free associative algebras;    Commutators;    Malcev-Neumann algebras;    Centralizers;    Ordered groups;   

DOI  :  10.1016/j.jalgebra.2012.03.024

来源: Elsevier

【 摘 要 】

Based on Bergman's Lemma on centralizers, we obtain a sharp lower degree bound for nonconstant elements in a subalgebra generated by two elements of a free associative algebra over an arbitrary field. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free