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math.RA2010
Rings as the unions of proper subrings
Andrea Lucchini, Attila Maroti
We describe all possible ways how a ring can be expressed as the union of three of its proper subrings. This is an analogue for rings of a 1926 theorem of Scorza about groups. We t…
math.GR2010
Average dimension of fixed point spaces with applications
Robert M. Guralnick, Attila Maroti
Let be a finite group, a field, and a finite dimensional -module such that has no trivial composition factor on . Then the arithmetic average dimension of th…