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.
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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.
Yue Chi Ming, Roger (1987)
Portugaliae mathematica
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Hirano, Yasuyuki, Tsutsui, Hisaya (2005)
International Journal of Mathematics and Mathematical Sciences
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Kenneth A. Brown (1978)
Compositio Mathematica
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Frank A. Arlinghaus, Leonid L. Vaserstein (1992)
Publicacions Matemàtiques
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We describe subgroups of GLA which are normalized by elementary matrices for rings A satisfying the first stable range condition, Banach algebras A, von Neumann regular rings A, and other rings A.
Chen, Huanyin, Chen, Miaosen (2003)
International Journal of Mathematics and Mathematical Sciences
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A. Widiger (1983)
Fundamenta Mathematicae
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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...