Geodesic
Examples of nonnilpotent nil-near-rings of nil degree 2
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 1, pp. 61-69 
I. I. Bogdanov. Examples of nonnilpotent nil-near-rings of nil degree 2. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 1, pp. 61-69. http://geodesic.mathdoc.fr/item/FPM_2003_9_1_a4/
@article{FPM_2003_9_1_a4,
     author = {I. I. Bogdanov},
     title = {Examples of nonnilpotent nil-near-rings of nil degree~2},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {61--69},
     year = {2003},
     volume = {9},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2003_9_1_a4/}
}
TY  - JOUR
AU  - I. I. Bogdanov
TI  - Examples of nonnilpotent nil-near-rings of nil degree 2
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2003
SP  - 61
EP  - 69
VL  - 9
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/FPM_2003_9_1_a4/
LA  - ru
ID  - FPM_2003_9_1_a4
ER  - 
%0 Journal Article
%A I. I. Bogdanov
%T Examples of nonnilpotent nil-near-rings of nil degree 2
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2003
%P 61-69
%V 9
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2003_9_1_a4/
%G ru
%F FPM_2003_9_1_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

Examples of finitely generated nonnilpotent near-rings satisfying the identity $x^2=0$ are constructed.

[1] Nagata M., “On the nilpotency of nilalgebras”, J. Math. Soc. Japan, 4 (1952), 296–301 | DOI | MR | Zbl

[2] Higman G., “On a conjecture of Nagata”, Proc. Cam. Phil. Soc., 52 (1956), 1–4 | DOI | MR | Zbl

[3] Zhevlakov K. A., Slinko A. M., Shestakov I. P., Shirshov A. I., Koltsa, blizkie k assotsiativnym, Nauka, M., 1978 | MR | Zbl

[4] Belov A. Ya., “Teorema Nagaty–Khigmana dlya polukolets”, Fundam. i prikl. mat., 1:2 (1995), 523–527 | MR | Zbl

[5] Bogdanov I. I., “Teorema Nagaty–Khigmana dlya polukolets”, Fundam. i prikl. mat., 7:3 (2001), 651–658 | MR | Zbl