A splitting ring of global dimension two

Fuelberth, John D.; Teply, Mark L.

doi:10.1090/S0002-9939-1972-0306264-X

A splitting ring of global dimension two
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by John D. Fuelberth and Mark L. Teply

Proc. Amer. Math. Soc. 35 (1972), 317-324

DOI: https://doi.org/10.1090/S0002-9939-1972-0306264-X

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Abstract:

In this paper an example is given of a ring with left global dimension 2 having the property that the singular submodule of any R-module A is a direct summand of A. Although the example given is quite specific, the methods can be used to construct a fairly large class of these rings.

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