Some comments on injectivity and p-injectivity.
Yue Chi Ming, R. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Yue Chi Ming, R. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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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.
Roger Yue Chi Ming (1983)
Collectanea Mathematica
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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...
Yue Chi Ming, Roger (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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