Geodesic
Radicals of semigroup rings†
Glasgow mathematical journal, Tome 10 (1969) no. 2, pp. 85-93

Voir la notice de l'article provenant de la source Cambridge University Press

Let denote the contracted semigroup ring of the ompletely 0-simple semigroup D over the ring R. The Rees structure theory of completely 0-simple semigroups is used to obtain necessary and sufficient conditions that have zero radical (Theorem 3.8). By using Amitsur's construction of the upper π-radical [1], we are able to treat the Jacobson, Baer (prime), Levitzki (locally nilpotent) and possibly the nil radicals simultaneously. Our results generalize a theorem of Munn [6] on semigroup algebras of finite 0-simple semigroups. 
Weissglass, Julian. Radicals of semigroup rings†. Glasgow mathematical journal, Tome 10 (1969) no. 2, pp. 85-93. doi: 10.1017/S0017089500000616
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