Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 637-650
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O. I. Balashov; A. I. Generalov. Projective resolutions of simple modules for a class of Frobenius algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 637-650. http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a0/
@article{FPM_2001_7_3_a0,
author = {O. I. Balashov and A. I. Generalov},
title = {Projective resolutions of simple modules for a~class of {Frobenius} algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {637--650},
year = {2001},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a0/}
}
TY - JOUR
AU - O. I. Balashov
AU - A. I. Generalov
TI - Projective resolutions of simple modules for a class of Frobenius algebras
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 637
EP - 650
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a0/
LA - ru
ID - FPM_2001_7_3_a0
ER -
%0 Journal Article
%A O. I. Balashov
%A A. I. Generalov
%T Projective resolutions of simple modules for a class of Frobenius algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 637-650
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a0/
%G ru
%F FPM_2001_7_3_a0
An infinite series of nongroup symmetric algebras $R_n$, $n\geqslant1$, is constructed as quotient algebras of a path algebra of a quiver. For these algebras, it is shown that minimal projective resolution of a simple module may be obtained as the total complex of a double complex of the same shape.
