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Some abstract properties of semigroups appearing in superconformal theories

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Abstract

A new type of semigroup which appears while dealing withN = 1 superconformal symmetry in superstring theories is considered. The ideal series having unusual abstract properties is constructed. Various idealisers are introduced and studied. The ideal quasicharacter is defined. Green’s relations are found and their connection with the ideal quasicharacter is established.

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Authors and Affiliations

  1. Theoretical Physics Department, University of Kaiserslautern, 67653, Kaiserslautern, Germany

    Steven Duplij

  2. Theory Division, Nuclear Physics Laboratory, Kharkov State University, 310077, Kharkov, Ukraine

    Steven Duplij

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  1. Steven Duplij
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Communicated by John M. Howie

Alexander von Humboldt Fellow

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Duplij, S. Some abstract properties of semigroups appearing in superconformal theories. Semigroup Forum 54, 253–260 (1997). https://doi.org/10.1007/BF02676606

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  • DOI: https://doi.org/10.1007/BF02676606

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