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D. K. Faddeev, Introduction to the multiplicative theory of moduli of integer representations, Trudy Steklov Math. Inst., AN SSSR,80, 145–183 (1965).
A. V. Rotter, Category of representations, Ukr. Matem. Zh.,15, No. 4 (1963).
S. Eilenberg, Homological dimension and syzygies, Ann. Math.,64, 328–336 (1956).
H. Bass, Finitistic dimension and a homological generalization of semi-primary rings, Trans. Am. Math. Soc.,95, No. 3 (1960).
N. Jacobson, Structure of Rings, Moscow (1961).
A. V. Hotter, Divisibility in categories of representations over a complete local Dedekind ring, Ukr. Matem. Zh.,17, No. 4 (1965).
Z. I. Borevich and D. K. Faddeev, On the theory of homology of finite groups. II, Vestnik, Leningr. Univ., No. 7 (1959).
A. V. Rotter, Analog of a Bass theorem for representation moduli of noncommutative orders, Dokl. AN SSSR,168, No. 6 (1967).
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Translated from Matematicheskie Zametki, Vol. 2, No. 2, pp. 139–144, August, 1967.
The author is deeply grateful to his scientific supervisor D. K. Faddeev, as well as to A. V. Roiter and all the participants of the representation theory seminar in the Mathematics Institute of the Academy of Sciences of the UkrSSR, for constant attention to the research.
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Kirichenko, V.V. Orders, all of whose representations are completely resolvable. Mathematical Notes of the Academy of Sciences of the USSR 2, 567–570 (1967). https://doi.org/10.1007/BF01094247
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DOI: https://doi.org/10.1007/BF01094247