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The classification of a class of homogeneous integral table algebras of degree five

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Abstract

The purpose of this paper is to give the classification of homogeneous integral table algebras of degree 5 containing a faithful real element of width 2. In fact, these algebras are classified to exact isomorphism, that is the sets of structure constants which arise from the given basis are completely determined. This is work towards classifying homogeneous integral table algebras of degree 5.

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Authors and Affiliations

  1. Institute for Advanced studies in Basic Sciences, P.O.Box: 45195-159, Zanjan, Iran

    A. Rahnamai Barghi

  2. Institute for Studies in Theoretical Physics and Mathematics, Tehran, Iran

    A. Rahnamai Barghi

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  1. A. Rahnamai Barghi
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Correspondence to A. Rahnamai Barghi.

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Barghi, A.R. The classification of a class of homogeneous integral table algebras of degree five. Korean J. Comput. & Appl. Math. 8, 71–80 (2001). https://doi.org/10.1007/BF03011623

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  • DOI: https://doi.org/10.1007/BF03011623

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