Space of minimal prime ideals of a ring without nilpotent elements

DOI10.1016/0022-4049(83)90031-2zbMath0535.16023OpenAlexW1977830366MaRDI QIDQ790917

Nimbakrishna K. Thakare, Shriram K. Nimbhorkar

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90031-2

zbMATH Keywords

hull-kernel topologycompactnessminimal prime idealscategory of normal ringsminimal spectrum

Mathematics Subject Classification ID

Topological and ordered rings and modules (16W80) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (10)

Boolean orthogonalities for near-rings ⋮ Rings and sheaves ⋮ Minimal primal ideals in Banach algebras ⋮ Open set lattices of subspaces of spectrum spaces ⋮ Minimal prime ideals of reduced rings ⋮ Associative rings ⋮ Lattice-Ordered Algebras that are Subdirect Products of Valuation Domains ⋮ The minimal prime spectrum of rings with annihilator conditions. ⋮ On the Baer rings ⋮ The hull-kernel topology on prime filters in residuated lattices

Cites Work

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• The space of minimal prime ideals in a 0-distributive semilattice
• Reticulated rings
• \(pm\)-lattices
• Certain Classes of Ideals in Polynomial Rings
• Minimal Prime Ideals in Commutative Semigroups
• Spaces of ideals of distributive lattices II. Minimal prime ideals
• Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal
• On Functional Representations of a Ring without Nilpotent Elements

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