A note on the Dixmier-Moeglin equivalence in Leavitt path algebras of arbitrary graphs over a field

DOI10.1080/00927872.2022.2087079OpenAlexW4283067573MaRDI QIDQ5872601

Kulumani M. Rangaswamy

Publication date: 2 January 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10016

zbMATH Keywords

prime idealsprimitive idealsLeavitt path algebracompletely irreducible idealsstrongly primitive ideals

Mathematics Subject Classification ID

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

Cites Work

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• The theory of prime ideals of Leavitt path algebras over arbitrary graphs.
• The Dixmier-Moeglin equivalence for Leavitt path algebras.
• The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings.
• Regularity conditions for arbitrary Leavitt path algebras.
• Ideaux primitifs des algèbres enveloppantes
• Leavitt path algebras
• Uniqueness theorems and ideal structure for Leavitt path algebras
• Commutative ideal theory without finiteness conditions: Completely irreducible ideals
• The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras
• Products and intersections of prime-power ideals in Leavitt path algebras
• Leavitt path algebras which are Zorn rings
• Primitivity of prime countable-dimensional regular algebras
• On prime nonprimitive von Neumann regular algebras
• Extreme cycles. The center of a Leavitt path algebra.

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