Journal
COMMUNICATIONS IN ALGEBRA
Volume 34, Issue 5, Pages 1651-1670Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/00927870500542564
Keywords
Matrix representation; ternary group
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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 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-Hosszu and Post theorems are also presented.
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