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Wild problems in the theory of representations of *-algebras generated by generatrices and relations

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Abstract

Two definitions of wild *-algebras are considered from the point of view of the theory of representations. We present methods for proving the fact that a *-algebra is wild. It is also shown that if a algebra isp-wild, then it isf-wild. The converse statement is not true.

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Authors and Affiliations

  1. Kiev University, USSR

    A. Yu. Piryatinskaya

  2. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    Yu. S. Samoilenko

Authors
  1. A. Yu. Piryatinskaya
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  2. Yu. S. Samoilenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 70–78, January, 1995.

This work was partially supported by the International Science Foundation, grant No. U6D000.

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Piryatinskaya, A.Y., Samoilenko, Y.S. Wild problems in the theory of representations of *-algebras generated by generatrices and relations. Ukr Math J 47, 81–90 (1995). https://doi.org/10.1007/BF01058798

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  • DOI: https://doi.org/10.1007/BF01058798

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