Decompositions of Baer-like rings

DOI10.1007/BF00050894zbMath0771.16003OpenAlexW1996690527MaRDI QIDQ1206283

Gary F. Birkenmeier

Publication date: 1 April 1993

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00050894

zbMATH Keywords

idempotentsnilpotent elementsessential extensiondirect summandright annihilatorprincipal right idealessential prime radicalright ideal decompositionssemiprime quasi-Baer ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) 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) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (24)

A NOTE ON PRINCIPALLY QUASI-BAER RINGS ⋮ On type baer factors ⋮ MODULES WITH FULLY INVARIANT SUBMODULES ESSENTIAL IN FULLY INVARIANT SUMMANDS ⋮ ON WEAKLY RIGID RINGS ⋮ Triangular matrix representations of ring extensions. ⋮ Annihilators in universal algebras: a new approach ⋮ On Triangulating Dimension of Rings ⋮ Baer and Quasi-Baer Differential Polynomial Rings ⋮ Quasi-Baer and biregular generalized matrix rings ⋮ Generalized Baer rings. ⋮ PRINCIPALLY QUASI-BAER RINGS ⋮ ON ORDERED MONOID RINGS OVER A QUASI-BAER RING ⋮ Polynomial extensions of Baer and quasi-Baer rings ⋮ Unnamed Item ⋮ TRIANGULAR MATRIX REPRESENTATIONS OF SEMIPRIMARY RINGS ⋮ Quasi-Baer ring extensions and biregrular rings ⋮ Generalized Quasi-Baer Rings ⋮ MODULES WITH FI-EXTENDING HULLS ⋮ Extending Sets of Idempotents to Ring Extensions ⋮ Ore extensions of Baer and p.p.-rings. ⋮ Semiprime ore extensions ⋮ Generalized APP-Rings ⋮ Self-adjoint ideals in baer *-rings ⋮ BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS

Cites Work

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• On dual rings and their modules
• Baer rings and quasi-continuous rings have a MDSN
• Twisted matrix units semigroup algebras
• On Baer and quasi-Baer rings
• Split-null extensions of strongly right bounded rings
• On Continuous Regular Rings and Semisimple Self Injective Rings
• Simple noetherian rings not isomorphic to matrix rings over domains
• A generalization of FPF rings
• Embeddings of strongly right bounded rings and algebras
• Endomorphism Rings of Modules over non-singular CS Rings
• Self-injective rings and the minimal direct summand containing the nilpotents
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
• Does Every Right Ideal of a Matrix Ring Contain a Nilpotent Element?
• Noncommutative localization and invariant theory
• Idempotents and completely semiprime ideals

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