Spectrum of a Noncommutative Ring

DOI10.1080/00927870600636936zbMath1126.16002OpenAlexW2023994980MaRDI QIDQ5489257

Fanggui Wang, Tong Wenting, Guoyin Zhang

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600636936

zbMATH Keywords

2-primal ringsAbelian ringsclopen setsright pm-ringsGelfand ringsweak Zariski topologiesclopen idempotentsprime right spectra

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Associative rings of functions, subdirect products, sheaves of rings (16S60) Prime and semiprime associative rings (16N60) Stone spaces (Boolean spaces) and related structures (06E15) Other classes of modules and ideals in associative algebras (16D80) Ideals in associative algebras (16D25) Topological fields, rings, etc. (topological aspects) (54H13) Topological and ordered rings and modules (16W80) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (8)

A Zariski Topology for Modules ⋮ Clean elements in Abelian rings. ⋮ Gelfand Factor Rings and Weak Zariski Topologies ⋮ Unnamed Item ⋮ A dual Zariski topology for modules. ⋮ Unnamed Item ⋮ The Zariski Topology on the Prime Spectrum of a Module over Noncommutative Rings ⋮ On the prime spectrum of an le-module

Cites Work

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• Primal modules
• Multiplication modules over non-commutative rings
• Spectra of Maximal 1-Sided Ideals and Primitive Ideals
• On Duo Rings
• Rings Over Which Every Simple Module is Rationally Complete

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