Directed graphs and nilpotent rings

Authors
Kelarev, AV
Citation
Av. Kelarev, Directed graphs and nilpotent rings, J AUS MAT A, 65, 1998, pp. 326-332
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115 → ACNP
Volume
65
Year of publication
1998
Part
3
Pages
326 - 332
Database
ISI
SICI code
0263-6115(199812)65:<326:DGANR>2.0.ZU;2-0
Abstract
Suppose that a ring is a sum of its nilpotent subrings. We use directed gra phs to give new conditions sufficient for the whole ring to be nilpotent.