A Class of Ring-like Objects

Mathematics – Rings and Algebras

Scientific paper

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20 pages

Scientific paper

We introduce the notions of one-sided dirings, 3-irreducible left modules,
3-primitive left dirings, 3-semi-primitive left dirings, 3-primitive ideals and
3-radicals. The main results consists of two parts. The first part establishes
two external characterizations of a 3-semi-primitive left diring. The second
part characterizes the 3-radical of a left diring by using 3-primitive ideals.

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