Matematičeskie zametki, Tome 10 (1971) no. 6, pp. 679-688
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A. A. Nechaev. On the structure of finite commutative rings with an identity. Matematičeskie zametki, Tome 10 (1971) no. 6, pp. 679-688. http://geodesic.mathdoc.fr/item/MZM_1971_10_6_a9/
@article{MZM_1971_10_6_a9,
author = {A. A. Nechaev},
title = {On the structure of finite commutative rings with an identity},
journal = {Matemati\v{c}eskie zametki},
pages = {679--688},
year = {1971},
volume = {10},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_6_a9/}
}
TY - JOUR
AU - A. A. Nechaev
TI - On the structure of finite commutative rings with an identity
JO - Matematičeskie zametki
PY - 1971
SP - 679
EP - 688
VL - 10
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1971_10_6_a9/
LA - ru
ID - MZM_1971_10_6_a9
ER -
%0 Journal Article
%A A. A. Nechaev
%T On the structure of finite commutative rings with an identity
%J Matematičeskie zametki
%D 1971
%P 679-688
%V 10
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1971_10_6_a9/
%G ru
%F MZM_1971_10_6_a9
We describe the structure of the finite primary rings of principal ideals; we prove that every such ring is the factor-ring of the ring of integers of a finite extension of the field of rational $p$-adic numbers; we touch on the problem of the number of nonisomorphic rings of this type with a fixed number of elements.