Geodesic
On some Radicals in Near-rings with a Defect of Distributivity
Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 45 .

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We consider some properties of the radical $J_2(R)$ and the Levitzki radical $L(R)$ in a near-ring $R$ with a defect of distributivity. With and additional assumption that the defect $D$ of $R$ is nilpotent or $D$ is contained in the commutator subgroup of $(R,+)$ we generalize some results of Freidman [6, Theorems 1,2], and of Beidleman [1, Th.~16]. Also, we give a slight version of the Theorem 2.5 of [{\bf 3}]. By using the notation of a relative defect, we consider some properties of minimal nonnilpotent $R$-subgroups and we generalize some results of Beidleman [2, Theorems 2.4, 2.6, 2.7, 3.1].
Classification : 16A76 
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     author = {Vu\v{c}i\'c Da\v{s}i\'c},
     title = {On some {Radicals} in {Near-rings} with a {Defect} of {Distributivity}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {45 },
     publisher = {mathdoc},
     volume = {_N_S_38},
     number = {52},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a8/}
}
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Vučić Dašić. On some Radicals in Near-rings with a Defect of Distributivity. Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 45 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a8/