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arXiv · 1905.10160

Largest ideals in Leavitt path algebras

Vural Cam·Cristóbal Gil Canto·Müge Kanuni·Mercedes Siles Molina
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Abstract

We identify largest ideals in Leavitt path algebras: the largest locally left/right artinian (which is the largest semisimple one), the largest locally left/right noetherian without minimal idempotents, the largest exchange, and the largest purely infinite. This last ideal is described as a direct sum of purely infinite simple pieces plus purely infinite non-simple and non-decomposable pieces. The invariance under ring isomorphisms of these ideals is also studied.

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Vural Cam, Cristóbal Gil Canto, Müge Kanuni, Mercedes Siles Molina. 2019-05-24. Largest ideals in Leavitt path algebras. https://arxiv.org/abs/1905.10160

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