The graded structure of algebraic Cuntz-Pimsner rings

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Lannstrom, Daniel¹ 

[1] Blekinge Inst Technol, Dept Math & Nat Sci, SE-37179 Karlskrona, Sweden

关键词: Group graded ring;    Epsilon-strongly graded ring;    Cuntz-Pimsner ring;    Leavitt path algebra;    Corner skew Laurent polynomial ring;   

DOI  :  10.1016/j.jpaa.2020.106369

来源: Elsevier

【 摘 要 】

Algebraic Cuntz-Pimsner rings are naturally Z-graded rings that generalize corner skew Laurent polynomial rings, Leavitt path algebras and unperforated Z-graded Steinberg algebras. In this article, we characterize strongly, epsilon-strongly and nearly epsilon-strongly Z-graded algebraic Cuntz-Pimsner rings up to graded isomorphism. We recover two results by Hazrat on when corner skew Laurent polynomial rings and Leavitt path algebras are strongly graded. As a further application, we characterize noetherian and artinian corner skew Laurent polynomial rings. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free