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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
@article{PIM_1985_N_S_38_52_a8,
     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/}
}
TY  - JOUR
AU  - Vučić Dašić
TI  - On some Radicals in Near-rings with a Defect of Distributivity
JO  - Publications de l'Institut Mathématique
PY  - 1985
SP  - 45 
VL  - _N_S_38
IS  - 52
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a8/
LA  - en
ID  - PIM_1985_N_S_38_52_a8
ER  - 
%0 Journal Article
%A Vučić Dašić
%T On some Radicals in Near-rings with a Defect of Distributivity
%J Publications de l'Institut Mathématique
%D 1985
%P 45 
%V _N_S_38
%N 52
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a8/
%G en
%F PIM_1985_N_S_38_52_a8
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/