Products and intersections of prime-power ideals in Leavitt path algebras

DOI10.1142/S0219498822501043zbMath1496.16040arXiv2101.05376OpenAlexW3138697196MaRDI QIDQ5070907

Zachary Mesyan, Kulumani M. Rangaswamy

Publication date: 14 April 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05376

zbMATH Keywords

prime idealproduct of idealsLeavitt path algebraintersection of idealscompletely irreducible idealprime-power ideal

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Ideals in associative algebras (16D25) Leavitt path algebras (16S88)

Related Items (1)

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

Cites Work

• On intersections of two-sided ideals of Leavitt path algebras
• The theory of prime ideals of Leavitt path algebras over arbitrary graphs.
• Unique irredundant intersections of completely irreducible ideals
• Ideal theory in Prüfer domains -- an unconventional approach
• The multiplicative ideal theory of Leavitt path algebras
• Leavitt path algebras
• On Prüfer-like properties of Leavitt path algebras
• Commutative ideal theory without finiteness conditions: Completely irreducible ideals
• Commutative ideal theory without finiteness conditions: Primal ideals
• Products of ideals in Leavitt path algebras
• Variations of primeness and factorization of ideals in Leavitt path algebras
• On prime nonprimitive von Neumann regular algebras
• On Generators of Two-Sided Ideals of Leavitt Path Algebras over Arbitrary Graphs

This page was built for publication: Products and intersections of prime-power ideals in Leavitt path algebras