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Bi-element representations of ternary groups

Andrzej Borowiec·Wieslaw A. Dudek·Steven Duplij
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Abstract

General properties of ternary semigroups and groups are considered. The bi-element representation theory in which every representation matrix corresponds to a pair of elements is built, connection with the standard theory is considered and several concrete examples are constructed. For clarity the shortened versions of classical Gluskin-Hosszú and Post theorems are given for them.

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Andrzej Borowiec, Wieslaw A. Dudek, Steven Duplij. 2003-06-12. Bi-element representations of ternary groups. https://doi.org/10.1080/00927870500542564

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