Rings with the dual of the isomorphism theorem.

DOI10.1016/j.jalgebra.2002.10.001zbMath1071.16006OpenAlexW2129639132MaRDI QIDQ1421808

W. Keith Nicholson, Esperanza Sánchez Campos

Publication date: 3 February 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2002.10.001

zbMATH Keywords

semiperfect ringsleft annihilatorsleft morphic ringsleft principally morphic ringsleft uniserial ringsproducts of matrix rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Noncommutative local and semilocal rings, perfect rings (16L30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

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Cites Work

• Unnamed Item
• Perspectivity and cancellation in regular rings
• Mininjective rings
• Principally injective rings
• Orders in self-injective semi-perfect rings
• Rings with the minimum condition for principal right ideals have the maximum condition for principal left ideals
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Units and One-Sided Units in Regular Rings
• Unit regular elements in corner rings
• Exchange rings, units and idempotents
• Rings satisfying certain chain conditions.
• On the Group Ring

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