Abstract
A theory of homologies is constructed for the class of algebras, described in Part I of the article (Ref. Zh. Mat., 1973, 8A342). This theory generalizes the theory of homologies of finite groups and Frobenius algebras. Many results, familiar for finite groups, can be proved for Hopf algebras. In particular, cohomological multiplication is constructed, and a duality theorem is proved.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 46, pp. 110–139, 1974.
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Yakovlev, A.V. Hopf algebras with involution over noncommutative rings and their homologies. II. J Math Sci 9, 381–406 (1978). https://doi.org/10.1007/BF01085056
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DOI: https://doi.org/10.1007/BF01085056