Abstract:
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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