Semiregular, semiperfect and perfect rings relative to an ideal.

DOI10.1216/rmjm/1181070046zbMath1046.16007OpenAlexW2056693863MaRDI QIDQ1415024

Mohamed F. Yousif, Yiqiang Zhou

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-4/CONT32-4/CONT32-4.html

zbMATH Keywords

perfect ringssemiperfect ringssemiregular rings

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80) Jacobson radical, quasimultiplication (16N20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (16)

FP-Injective, Simple-Injective, and Quasi-Frobenius Rings ⋮ Semiregular Modules with Respect to a Fully Invariant Submodule ⋮ C3-Modules ⋮ On general closure operators and quasi factorization structures ⋮ Some properties of \(e\)-supplemented and \(e\)-lifting modules. ⋮ On rings whose Jacobson radical coincides with upper nilradical ⋮ A generalization of projective covers ⋮ Strong lifting. ⋮ Generalizations of coatomic modules. ⋮ A Generalization of Semiregular and Semiperfect Modules ⋮ Semiperfect Modules with Respect to a Preradical ⋮ Modules in Which Inverse Images of Some Submodules are Direct Summands ⋮ Soc-Injective Rings and Modules* ⋮ Soclean rings ⋮ δ-Lifting and δ-Supplemented Modules ⋮ On essential extensions of direct sums of either injective or projective modules

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