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Characterizing Rickart and Baer ultragraph Leavitt path algebras by Jubeir, Mitchell; van Wyk, Daniel W is a scholarly article available to read on EtoBox.

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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.

Author

Jubeir, Mitchell; van Wyk, Daniel W

Published

2023

Language

EN