Wang Qing
Abstract
In this paper, we give a definition of transformation ring of a ring. Then we prove the following main results: 1° If R is any ring with the identity, it is isomorphic to a transformation ring. 2° If R is any ring without nontrivial zero divisors, it is isomorphic to a transformation ring.
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In this paper, we give a definition of transformation ring of a ring. Then we prove the following main results: 1° If R is any ring with the identity, it is isomorphic to a transformation ring. 2° If R is any ring without nontrivial zero divisors, it is isomorphic to a transformation ring.
Key concepts: Ring (chemistry), Transformation (genetics), Primitive ring, Reduced ring, Principal ideal ring, Simple ring, Mathematics, Division ring