Baer rings and quasi-continuous rings have a MDSN

DOI10.2140/pjm.1981.97.283zbMath0432.16010OpenAlexW1979104107MaRDI QIDQ1138622

Gary F. Birkenmeier

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1981.97.283

zbMATH Keywords

nilpotent elementsquasi-Baer ringsessential extensionright annihilatoridempotent generated right idealMDSNright quasi-continuous rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Conditions on elements (16U99) Centralizing and normalizing extensions (16S20)

Related Items (27)

A NOTE ON PRINCIPALLY QUASI-BAER RINGS ⋮ Extensions of Generalized Armendariz Rings ⋮ ON WEAKLY RIGID RINGS ⋮ Unnamed Item ⋮ On rings with restricted minimum condition ⋮ Semi-Baer modules ⋮ Triangular matrix representations of ring extensions. ⋮ Annihilators in universal algebras: a new approach ⋮ π-Baer rings ⋮ On quasi-injectivity and von Neumann regularity ⋮ Quasi-Baer and biregular generalized matrix rings ⋮ THE FACTOR RING OF A QUASI-BAER RING BY ITS PRIME RADICAL ⋮ Generalized Baer rings. ⋮ PRINCIPALLY QUASI-BAER RINGS ⋮ ON ORDERED MONOID RINGS OVER A QUASI-BAER RING ⋮ Decompositions of Baer-like rings ⋮ BAER ENDOMORPHISM RINGS AND ENVELOPES ⋮ Polynomial extensions of Baer and quasi-Baer rings ⋮ Unnamed Item ⋮ TRIANGULAR MATRIX REPRESENTATIONS OF SEMIPRIMARY RINGS ⋮ Quasi-Baer ring extensions and biregrular rings ⋮ Quotient Rings of Rings Generated by Faithful Cyclic Modules ⋮ Skew-injective modules ⋮ On regular rings and continuous rings. III ⋮ Triangular matrix representations ⋮ Ore extensions of Baer and p.p.-rings. ⋮ A note on semi-prime rings

This page was built for publication: Baer rings and quasi-continuous rings have a MDSN