Generalized -rings and von Neumann regular rings
Giuseppe Baccella (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On -rings and unit-regular rings”
Generalized -rings and von Neumann regular rings
On non singular p-inyective rings.
Yasuyuki Hirano (1994)
Publicacions Matemàtiques
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A ring R is said to be if, for any principal left ideal I of R, any left R-homomorphism I into R extends to one of R into itself. In this note left nonsingular left p-injective rings are characterized using their maximal left rings of quotients and the structure of semiprime left p-injective rings of bounded index is investigated.
VNR rings, -regular rings and annihilators
Roger Yue Chi Ming (2009)
Commentationes Mathematicae Universitatis Carolinae
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Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective regular rings are characterized. Rings which are either strongly regular or semi-simple Artinian are considered. Annihilator ideals and -regular rings are studied. Properties of WGP-injectivity are developed.
Semiprime SF-rings whose essential left ideals are two-sided.
Zhang, Jule, Du, Xianneng (1994)
International Journal of Mathematics and Mathematical Sciences
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A Survey of Rings Generated by Units
Ashish K. Srivastava (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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This article presents a brief survey of the work done on rings generated by their units.
On quasi-Frobeniusean and Artinian rings.
Yue Chi Ming, Roger (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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On -injectivity, YJ-injectivity and quasi-Frobeniusean rings
Roger Yue Chi Ming (2002)
Commentationes Mathematicae Universitatis Carolinae
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A new characteristic property of von Neumann regular rings is proposed in terms of annihilators of elements. An ELT fully idempotent ring is a regular ring whose simple left (or right) modules are either injective or projective. Artinian rings are characterized in terms of Noetherian rings. Strongly regular rings and rings whose two-sided ideals are generated by central idempotents are characterized in terms of special annihilators. Quasi-Frobeniusean rings are characterized in terms...