拟环强素根的模刻划

THE MODULE CHARACTERIZATION OF STRONGLY PRIME RADICAL OF NEAR-RINGS

给出拟环N的强素根S(N)的模刻划 ,证明了S :N→S(N)是根映射且S(I) =S(N)∩I,其中I N是N的直和项 .最后得到了有关US_素根及US(1)

For near_ring N , a strongly prime N _group is defined and this is used to characterize the strongly prime radical S(N) of near_ring N . It is proved in this paper that S:N→S(N) is a radical map and S(N)∩I=S(I) . Where IN is a direct summand of N . Finally, analogous results of US _prime radical and US(1) _prime radical of near_rings are obtained.