Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 223-231
Citer cet article
I. D. Bunu. On rings over which the latice of all pretorsions has only one maximal element. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 223-231. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a17/
@article{FPM_1998_4_1_a17,
author = {I. D. Bunu},
title = {On rings over which the latice of all pretorsions has only one maximal element},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {223--231},
year = {1998},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a17/}
}
TY - JOUR
AU - I. D. Bunu
TI - On rings over which the latice of all pretorsions has only one maximal element
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 223
EP - 231
VL - 4
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a17/
LA - ru
ID - FPM_1998_4_1_a17
ER -
%0 Journal Article
%A I. D. Bunu
%T On rings over which the latice of all pretorsions has only one maximal element
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 223-231
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a17/
%G ru
%F FPM_1998_4_1_a17
The latice $K(R)$ of all pretorsions of the category $\mathcal{M}$ of left unitary $R$-modules over an associative ring $R$ with unity element is examined and the rings over which the latice $K(R)$ has only one maximal element are described. Some applications are shown too.
