Bi-element representations of ternary groups

Borowiec, Andrzej; Dudek, Wieslaw A.; Duplij, Steven

Bi-element representations of ternary groups

Authors

Borowiec, Andrzej

Dudek, Wieslaw A.

Duplij, Steven

Description

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.
18 pages, AmSLaTeX