Bi-Element Representations of Ternary Groups# |
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| Authors: | Andrzej Borowiec Steven Duplij |
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| Institution: | 1. Institute of Theoretical Physics , University of Wroc?aw , Wroc?aw, Poland;2. Department of Physics and Technology , Kharkov National University , Kharkov, Ukraine |
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| Abstract: | General properties of ternary semigroups and groups are consi-dered. The bi-element representation theory in which every representation matrix corresponds to a pair of elements is built up. Connections with the standard theory are considered and several concrete examples are constructed. For the sake of clarity and completeness the shortened versions of classical Gluskin-Hosszú and Post theorems are also presented. |
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| Keywords: | Matrix representation Ternary group |
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