Geodesic
Projective resolutions of simple modules for a class of Frobenius algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 637-650 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@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/}
}
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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/