2010•AIP conference proceedingsRequires access

PSEUDO SEMI‐SIMPLE RINGS

Saad H. Mohamed

Abstract

A ring R is called right pseudo semi‐simple if every right ideal not isomorphic to R is semi‐simple. Right principal ideal domains and semi‐simple rings are trivial examples of such rings. The structure of non‐trivial right pseudo semi‐simple rings is known for some special cases. A general structure theorem is still missing. Examples exist of regular right and left pseudo semi‐simple rings which are not semi‐simple.

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Key concepts: Simple (philosophy), Simple ring, Ideal (ethics), Mathematics, Principal ideal, Pure mathematics, Principal ideal ring, Ring (chemistry)