Normal classes of prime rings determined by modules

Nicholson, W. K.; Watters, J. F.

doi:10.1090/S0002-9939-1981-0619974-7

Normal classes of prime rings determined by modules
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by W. K. Nicholson and J. F. Watters

Proc. Amer. Math. Soc. 83 (1981), 27-30

DOI: https://doi.org/10.1090/S0002-9939-1981-0619974-7

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Abstract:

It is shown that primitive rings with a socle, left weakly primitive rings and prime Johnson rings constitute normal classes of rings. The technique involves characterizing each class as all rings with a faithful module of a certain type.

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