Displaying similar documents to “On normal subgroups of GL 2 over rings with many units”

Work of Pere Menal on normal subgroups.

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.

Filial rings

Ehrlich, Gertrude (1983-1984)

Portugaliae mathematica

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On rings with a unique proper essential right ideal

O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2004)

Fundamenta Mathematicae

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Right ue-rings (rings with the property of the title, i.e., with the maximality of the right socle) are investigated. It is shown that a semiprime ring R is a right ue-ring if and only if R is a regular V-ring with the socle being a maximal right ideal, and if and only if the intrinsic topology of R is non-discrete Hausdorff and dense proper right ideals are semisimple. It is proved that if R is a right self-injective right ue-ring (local right ue-ring), then R is never semiprime and...