On isomorphism conditions for algebra functors with applications to Leavitt path algebras

DOI10.1007/s00009-023-02475-2arXiv2204.08422MaRDI QIDQ6095349

Iván Ruiz Campos, Dolores Martín Barquero, Cándido Martín González, Cristóbal Gil Canto

Publication date: 8 September 2023

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

Full work available at URL: https://arxiv.org/abs/2204.08422

zbMATH Keywords

functorprime fieldextension of fieldsCohn and Leavitt path algebrasisomorphism of \(K\)-algebras

Mathematics Subject Classification ID

Special properties of functors (faithful, full, etc.) (18A22) Definitions and generalizations in theory of categories (18A05) Associative rings and algebras arising under various constructions (16S99) Leavitt path algebras (16S88)

Cites Work

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• The centroid of extended affine and root graded Lie algebras
• Diagonal-preserving isomorphisms of étale groupoid algebras
• Leavitt path algebras
• Reconstruction of graded groupoids from graded Steinberg algebras
• Diagonal-preserving ring \(\ast\)-isomorphisms of Leavitt path algebras
• Diagonal-preserving graded isomorphisms of Steinberg algebras
• Hilbert's Nullstellensatz in Infinite-Dimensional Space

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