Abstract
Analogs of Chevalley's modules are introduced for a Frobenius Z-algebra Λ. Up to a certain equivalence relation, they form a cyclic group with respect to Λ-tensor multiplication. The complete projective resolvent of the ring Λ is constructed.
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Z. I. Borevich and D. K. Faddeev, “Homology theory in groups. II. Projective resolvents of finite groups,” Vestnik Leningrad. Un-ta, No. 7, 72–87 (1959).
F. R. Bobovich and D. K. Faddeev, “Hochschild cohomologies for Z-rings with a power basis,” Matem. Zametki,4, No. 2, 141–150 (1968).
H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, Princeton (1956).
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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.
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Bobovich, F.R. Analogs of Chevalley modules in Hochschild cohomology theory. Mathematical Notes of the Academy of Sciences of the USSR 9, 325–329 (1971). https://doi.org/10.1007/BF01094360
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DOI: https://doi.org/10.1007/BF01094360