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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 252-37
Hobart, Tasmania 7001
Australia
e-mail: 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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© Copyright 1998, Australian Mathematical Society
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1998-12-04