A note on regularity conditions on Leavitt path algebras over commutative rings

Sarah Aljohani

doi:10.1117/12.3030774

26 June 2024 A note on regularity conditions on Leavitt path algebras over commutative rings

Sarah Aljohani

Proceedings Volume 13188, International Conference on Medical Imaging, Electronic Imaging, Information Technologies, and Sensors (MIEITS 2024); 131880E (2024) https://doi.org/10.1117/12.3030774
Event: International Conference on Medical Imaging, Electronic Imaging, Information Technologies, and Sensors (MIEITS 2024), 2024, Kuala Lumpur, Malaysia

Abstract

In this article we show that , for an arbitrary graph E, L_R(E) is von Neumann regular implies L_R(E) is π-regular which implies E is acyclic. And we show If L_R(E) is strongly π-regular, then L_R(E) is π-regular.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Sarah Aljohani "A note on regularity conditions on Leavitt path algebras over commutative rings", Proc. SPIE 13188, International Conference on Medical Imaging, Electronic Imaging, Information Technologies, and Sensors (MIEITS 2024), 131880E (26 June 2024); https://doi.org/10.1117/12.3030774

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