Spectra of Maximal 1-Sided Ideals and Primitive Ideals

DOI10.1080/00927870600637280zbMath1132.16003OpenAlexW2109623468MaRDI QIDQ5489262

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/10.1080/00927870600637280

zbMATH Keywords

idempotentsprimitive idealsmaximal right idealsquasi-duo ringsconnected spacesGelfand ringsweak Zariski topologies

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Topological fields, rings, etc. (topological aspects) (54H13) Topological and ordered rings and modules (16W80)

Related Items (7)

Topologically boolean and g(x)-clean rings ⋮ Clean elements in Abelian rings. ⋮ Gelfand Factor Rings and Weak Zariski Topologies ⋮ On the second spectrum and the second classical Zariski topology of a module ⋮ Some notes on semiabelian rings. ⋮ The Zariski Topology on the Prime Spectrum of a Module over Noncommutative Rings ⋮ Spectrum of a Noncommutative Ring

Cites Work

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• Algebra in a localic topos with applications to ring theory
• Rings in which every prime ideal is contained in a unique maximal right ideal
• Prime submodules of Noetherian modules
• Quasi-duo rings and stable range descent.
• Multiplication Modules in Which Every Prime Submodule is Contained in a Unique Maximal Submodule
• A Sheaf Representation for Modules with Applications to Gelfand Rings
• Primal modules

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