McCoy rings of path algebras and truncated algebras

Abstract

In this paper, we give a necessary and sufficient condition for a graded algebra to be a McCoy ring. We then classify all McCoy rings of finite dimensional path algebras and truncated algebras over field $\mathbb{K}.$ This leads a new way of constructing McCoy rings.

Keywords:

• McCoy ring
• path algebra
• truncated algebra

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• Primary 16U80
• 16S99

Acknowledgment

We would like to thank the anonymous referee for carefully reading our manuscript and also for his/her detailed comments.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (Grant No. 11471017), Doctoral Research Foundation and the Natural Science Foundation of Anhui Higher Education Institutions of China (No. KJ2018A0304, No. KJ2019A0488).