FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 3, PAGES 637-650

Projective resolutions of simple modules for a class of Frobenius algebras

O. I. Balashov
A. I. Generalov

Abstract

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An infinite series of nongroup symmetric algebras $R$_n, $n\; \ge \; 1$, 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.

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Last modified: December 23, 2001