Ross A. Beaumont's research while affiliated with The University of Arizona and other places

Publication (1)

Article
For an abelian group G and a ring R, R is a ring on G if the additive group of R is isomorphic to G. G is nil if the only ring R on G is the zero ring, R2 = {0}. G is radical if there is a nonzero ring on G that is radical in the Jacobson sense. Otherwise, G is antiradical. G is semisimple if there is some (Jacobson) semisimple ring on G, and G is...

Citations

... There have been many papers on the general question of which abelian groups support various kinds of ring structures. In addition to the work of Beaumont and coauthors cited previously, see, for example, Wickless ([16]) who motivated Beaumont and Lawver ([3]), who spurred Reid ([10]). Finally, I should like to mention a little bit some work of Nunke since this report does not yet reflect his influence on many of us and the value of his presence among us at the time. ...