A CHARACTERIZATION OF CERTAIN MORPHIC TRIVIAL EXTENSIONS

DOI10.1142/S021949881100480XzbMath1277.16002arXiv0907.1141MaRDI QIDQ3117886

Thomas J. Dorsey, Warren Wm. McGovern, Alexander J. Diesl

Publication date: 1 March 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1141

zbMATH Keywords

bimodulesArtinian ringsBézout ringstrivial extensionsunit regular ringsleft perfect ringsdivisible modulesmorphic rings

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Bimodules in associative algebras (16D20) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (3)

On quasi-morphic modules ⋮ Hopficity of Modules and Rings (Survey) ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Morphic rings and unit regular rings.
• Commutative coherent rings
• Rings with the dual of the isomorphism theorem.
• Morphic and principal-ideal group rings.
• Rings with the minimum condition for principal right ideals have the maximum condition for principal left ideals
• QUASI-MORPHIC RINGS
• LEFT QUASI-MORPHIC RINGS
• MORPHIC RINGS AS TRIVIAL EXTENSIONS
• PRINCIPAL RINGS WITH THE DUAL OF THE ISOMORPHISM THEOREM

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