2009Commentationes Mathematicae Universitatis CarolinaeRequires access

VNR rings, $\Pi $-regular rings and annihilators

Roger Yue Chi Ming

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Abstract

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.

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What this paper is about

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.

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Available abstract

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.

Key concepts: Von Neumann regular ring, Artinian ring, Mathematics, Semisimple module, Annihilator, Primitive ring, Noncommutative ring, Principal ideal ring

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