Bi-Element Representations of Ternary Groups#
Andrzej Borowiec, Wiesław A. Dudek, Steven Duplij · Communications in Algebra · 2006
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.