Geodesic
Semigroup rings and prime radicals of ring and semigroup
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 667-687 
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/
@article{FPM_2002_8_3_a3,
     author = {A. Yu. Golubkov},
     title = {Semigroup rings and prime radicals of ring and semigroup},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {667--687},
     year = {2002},
     volume = {8},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a3/}
}
TY  - JOUR
AU  - A. Yu. Golubkov
TI  - Semigroup rings and prime radicals of ring and semigroup
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2002
SP  - 667
EP  - 687
VL  - 8
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a3/
LA  - ru
ID  - FPM_2002_8_3_a3
ER  - 
%0 Journal Article
%A A. Yu. Golubkov
%T Semigroup rings and prime radicals of ring and semigroup
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2002
%P 667-687
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a3/
%G ru
%F FPM_2002_8_3_a3

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Andrunakievich V. A., Ryabukhin Yu. M., Radikaly algebr i strukturnaya teoriya, Nauka, M., 1979 | MR

[2] Hoehnke H.-J., “Über das untere und obere Radical einer Halbgruppe”, Math. Z., 89 (1965), 300–311 | DOI | MR | Zbl

[3] Roiz E. N., “O radikalakh Dzhekobsona i Bera kolets i ikh multiplikativnykh polugrupp”, Izv. vyssh. uchebn. zaved. Matematika, 1975, no. 10, 71–79 | MR | Zbl

[4] Roiz E. N., Schein B. M., “Radicals of semigroups”, Semigroup Forum, 16:3 (1978), 289–344 | MR

[5] Tischenko A. V., “Slabo spetsialnye i spetsialnye radikaly v polugruppakh”, Mat. sbornik, 94 (1974), 551–566 | Zbl

[6] Klifford A., Preston G., Algebraicheskaya teoriya polugrupp, T. 1, 2, Mir, M., 1972 | Zbl