Geodesic
On the radicals of semigroup rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 2, pp. 629-634 
G. B. Lungu. On the radicals of semigroup rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 2, pp. 629-634. http://geodesic.mathdoc.fr/item/FPM_1996_2_2_a14/
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     author = {G. B. Lungu},
     title = {On the radicals of semigroup rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {629--634},
     year = {1996},
     volume = {2},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_2_a14/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The author investigates properties of the radicals of semigroup rings, that can be considered as rings, graded by a band. A characterization of the Brown–McCoy radical of a band-graded ring is obtained. For a semigroup ring of a semilattice it is proved that $\rho(R[\Omega])\subseteq\rho(R)[\Omega]$ holds for any radical $\rho$ (in the sense of Kurosh–Amitsur). The technique of this paper is developed from the one used by W. D. Munn in [3].