Diskretnaya Matematika, Tome 4 (1992) no. 2, pp. 45-51
Citer cet article
A. N. Alekseichuk; V. P. Elizarov. Finite rings with a large number of zero divisors. Diskretnaya Matematika, Tome 4 (1992) no. 2, pp. 45-51. http://geodesic.mathdoc.fr/item/DM_1992_4_2_a4/
@article{DM_1992_4_2_a4,
author = {A. N. Alekseichuk and V. P. Elizarov},
title = {Finite rings with a~large number of zero divisors},
journal = {Diskretnaya Matematika},
pages = {45--51},
year = {1992},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1992_4_2_a4/}
}
TY - JOUR
AU - A. N. Alekseichuk
AU - V. P. Elizarov
TI - Finite rings with a large number of zero divisors
JO - Diskretnaya Matematika
PY - 1992
SP - 45
EP - 51
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/DM_1992_4_2_a4/
LA - ru
ID - DM_1992_4_2_a4
ER -
%0 Journal Article
%A A. N. Alekseichuk
%A V. P. Elizarov
%T Finite rings with a large number of zero divisors
%J Diskretnaya Matematika
%D 1992
%P 45-51
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/DM_1992_4_2_a4/
%G ru
%F DM_1992_4_2_a4
If $R$ is an associative ring with $n>1$ left-hand zero divisors, then $|R|\leqslant n^2$. We sharpen this estimate for rings that are nonlocal from the left. We describe nonlocal rings with identity, for which an improved estimate can be obtained, and also rings with the condition $|R|=(n-k)(n-l)$, where $k=1,2$ and $l=0,1$.
