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arXiv · 2307.14431

Characterizing Rickart and Baer ultragraph Leavitt path algebras

Mitchell Jubeir·Daniel W van Wyk
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Abstract

We characterize ultragraph Leavitt path algebras that are Rickart, locally Rickart, graded Rickart, and graded Rickart *-rings. We also characterize ultragraph Leavitt path algebras that are Baer, locally Baer, graded Baer, Baer *-rings, and combinations of these. These characterizations build on and generalize the work of Hazrat and Vas on Leavitt path algebras over fields to ultragraph Leavitt path algebras over semi-simple commutative unital rings.

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Mitchell Jubeir, Daniel W van Wyk. 2023-07-26. Characterizing Rickart and Baer ultragraph Leavitt path algebras. https://arxiv.org/abs/2307.14431

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