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