ON RADICALS OF LEFT V-SEMIRINGS

Abstract

In this paper, we solve Problem 1 in [8] for left V-semirings. Specifically,
we prove that has the inclusion of the radical J_s(R) into the Jacobson radical
J (R) for every left V-semiring R. Moreover, we give a necessary and sufficient
condition for two radicals are equal on left artinian (or subtractive) left V-semirings.