Analogs of Chevalley modules in Hochschild cohomology theory

Analogs of Chevalley's modules are introduced for a Frobenius Z-algebra . Up to a certain equivalence relation, they form a cyclic group with respect to -tensor multiplication. The complete projective resolvent of the ring is constructed.Translated from Matematicheskie Zametki, Vol. 9, No. 5, pp. 561–568, May, 1971.The author wishes to express his gratitude to D. K. Faddeev for his interest in this work and for his valuable advice.