Geodesic
Semigroup rings and prime radicals of ring and semigroup
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 667-687
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Our main purpose in this paper is the demonstration of an alternative approach to construction of prime radicals in semigroups and besides we obtained correlations between the prime radical of a ring and prime radicals of its multiplicative semigroup in the widest possible classes of rings. 
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A. Yu. Golubkov. Semigroup rings and prime radicals of ring and semigroup. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 667-687. http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a3/

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