On essential extensions of rings

DOI10.1017/S0004972700013368zbMath0603.16020OpenAlexW1972252463MaRDI QIDQ3739306

Edmund R. Puczylowski

Publication date: 1987

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700013368

zbMATH Keywords

atomKrull dimensionessential extensiontrivial extensionssimple ringlower radicallattice of radicalsk-algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Centralizing and normalizing extensions (16S20) Modules, bimodules and ideals in associative algebras (16Dxx) Radicals and radical properties of associative rings (16Nxx)

Related Items

Essential ideals represented by mod-annihilators of modules, ON MAXIMAL ESSENTIAL EXTENSIONS OF RINGS, THE BROWN-MCCOY RADICAL AND ONE-SIDED IDEALS, On left ideal essential extensions of rings, Pseudo-Chain Rings and Pseudo-Uniserial Modules

Cites Work

• Unnamed Item
• Simple rings whose lower radicals are atoms
• Strong radical properties of alternative and associative rings
• Idealizers and hereditary Noetherian prime rings
• A unified approach to unity
• Simple Noetherian Rings need not have Unity Elements