FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 461-466

On the radicals of semigroup rings of $2$-nilpotent semigroups

G. B. Lungu

Abstract

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The article deals with the properties of radicals of semigroup rings of 2-nilpotent semigroups. A relation between the separative congruence on a 2-nilpotent semigroup and the radicals larger than the prime radical is obtained. There is also obtained a characterisation of the Levitsky and Jacobson radicals for some special classes of semilattices of 2-nilpotent groups.

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Location: http://mech.math.msu.su/~fpm/eng/98/981/98127h.htm
Last modified: April 8, 1998