Largest ideals in Leavitt path algebras

DOI10.1007/s00009-020-1486-8zbMath1451.16023arXiv1905.10160OpenAlexW3007058791MaRDI QIDQ2178620

Mercedes Siles Molina, Cristóbal Gil Canto, Vural Cam, Müge Kanuni

Publication date: 11 May 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10160

zbMATH Keywords

socleLeavitt path algebraextreme cycleline pointpurely infinite ideal

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Leavitt path algebras (16S88)

Related Items

Invariant ideals in Leavitt path algebras

Cites Work

• Cycles in Leavitt path algebras by means of idempotents.
• Algebras of quotients of path algebras.
• Socle theory for Leavitt path algebras of arbitrary graphs.
• Extensions of exchange rings
• Using Steinberg algebras to study decomposability of Leavitt path algebras
• Leavitt path algebras
• Nonstable \(K\)-theory for graph algebras.
• The socle of a Leavitt path algebra.
• The Leavitt path algebra of a graph.
• Non-simple purely infinite rings
• Local rings of exchange rings
• Classification of Leavitt path algebras with two vertices
• Chain conditions for Leavitt path algebras
• Extreme cycles. The center of a Leavitt path algebra.

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