The maximal quotient rings of regular group rings (III).
Ferran Cedó (1996)
Publicacions Matemàtiques
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We give a new proof of the main result of [1] which does not use the classification of the finite simple groups.
Displaying similar documents to “Maximal quotient rings and essential right ideals in group rings of locally finite groups.”
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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...