On the least multiplicative nucleus of a ring

DOI10.1016/0022-4049(92)90113-TzbMath0791.16019OpenAlexW2069699906MaRDI QIDQ1196784

Shu-Hao Sun

Publication date: 16 January 1993

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(92)90113-t

zbMATH Keywords

distributive latticesprime idealsprincipal idealsclosure operatorsideal latticesradical idealsLevitzki radicalprime ideal theorem\(m^*\)-ringsleast multiplicative nucleussemisimple ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Structure and representation theory of distributive lattices (06D05) Ideals in associative algebras (16D25) General radicals and associative rings (16N80) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (5)

A unification of some sheaf representations of rings by quotient rings ⋮ On biregular rings and their duality ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Spectra of monoidal-lattices

Cites Work

• Prime elements from prime ideals
• On separation lemmas
• Almost maximal ideals
• The Power of the Ultrafilter Theorem
• Lattice Aspects of Radical Ideals and Choice Principles
• Prime ideals yield almost maximal ideals
• Constructing locales from quantales
• Variants of RADO'S Selection Lemma and their Applications

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