
Journal of the Australian Mathematical Society  Series A
Vol. 65 Part 3 (1998)
Directed graphs and nilpotent rings
A. V. Kelarev
School of Mathematics
University of Tasmania
G.P.O. Box 25237
Hobart, Tasmania 7001
Australia
email: kelarev@hilbert.maths.utas.edu.au
Abstract:
Suppose that a ring is a sum of its nilpotent subrings.
We use directed graphs to give new conditions sufficient
for the whole ring to be nilpotent.
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