Abstract
Let KQ be a path algebra, where Q is a finite quiver and K is a field. We study KQ/C where C is the two-sided ideal in KQ generated by all differences of parallel paths in Q. We show that KQ/C is always finite dimensional and its global dimension is finite. Furthermore, we prove that KQ/C is Morita equivalent to an incidence algebra.The paper starts with a more general setting, where KQ is replaced by KQ/I with I a two-sided ideal in KQ.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
