1964Bulletin of the American Mathematical SocietyOpen access

Noetherian simple rings

Carl Faith

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Abstract

THEOREM 1.A right noetherian simple ring R with identity is isomorphic to the endomorphism ring of a unital torsion-free module M of finite rank over an integral domain.

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THEOREM 1.A right noetherian simple ring R with identity is isomorphic to the endomorphism ring of a unital torsion-free module M of finite rank over an integral domain.

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Available abstract

THEOREM 1.A right noetherian simple ring R with identity is isomorphic to the endomorphism ring of a unital torsion-free module M of finite rank over an integral domain.

Key concepts: Noetherian, Simple (philosophy), Mathematics, Pure mathematics, Computer science, Algebra over a field, Philosophy, Epistemology

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