The structure of rings with faithful nonsingular modules

Zelmanowitz, J. M.

doi:10.1090/S0002-9947-1983-0697079-3

The structure of rings with faithful nonsingular modules
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Trans. Amer. Math. Soc. 278 (1983), 347-359 Request permission

Abstract:

It is shown that the existence of a faithful nonsingular uniform module characterizes rings which have a full linear maximal quotient ring. New information about the structure of these rings is obtained and their maximal quotient rings are constructed in an explicit manner. More generally, rings whose maximal quotient rings are finite direct sums of full linear rings are characterized by the existence of a faithful nonsingular finite dimensional module.

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