Realizing posets as prime spectra of Leavitt path algebras

DOI10.1016/j.jalgebra.2016.12.015zbMath1358.16029arXiv1512.06771OpenAlexW2570490001MaRDI QIDQ511859

Yong-Cai Geng, Sumit K. Garg

Publication date: 22 February 2017

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

Full work available at URL: https://arxiv.org/abs/1512.06771

zbMATH Keywords

partially ordered setprime spectrumLeavitt path algebra

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Algebraic aspects of posets (06A11) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Associative rings and algebras arising under various constructions (16S99)

Related Items (4)

A classification of ideals in Steinberg and Leavitt path algebras over arbitrary rings ⋮ An infinite cardinal-valued Krull dimension for rings ⋮ Chains of semiprime and prime ideals in Leavitt path algebras ⋮ Modules whose submodule lattice is lower finite

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.
• Unions of chains of primes
• The prime spectrum of a two-dimensional affine domain
• Prime ideals in normalizing extensions
• Generalized Dedekind domains and their injective modules
• Relating subsets of a poset, and a partition theorem for WQOs
• On the order of prime ideals
• The spectrum of a ring as a partially ordered set
• Totally ordered sets and the prime spectra of rings
• Prime Ideals in Two-Dimensional Polynomial Rings
• Prime spectrum and primitive Leavitt path algebras
• The Ordering of Spec R
• Leavitt path algebras: the first decade
• Prime Ideal Structure in Commutative Rings

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