Basic concepts of ternary Hopf algebras
Borowiec, Andrzej ; Dudek, Wieslaw A. ; Duplij, Steven
arXiv, 0306208 / Harvested from arXiv
Text on arXiv
The theory of ternary semigroups, groups and algebras is reformulated in the abstract arrow language. Then using the reversing arrow ansatz we define ternary comultiplication, bialgebras and Hopf algebras and investigate their properties. The main property "to be binary derived" is considered in detail. The co-analog of Post theorem is formulated. It is shown that there exist 3 types of ternary coassociativity, 3 types of ternary counits and 2 types of ternary antipodes. Some examples are also presented.
Publié le : 2003-06-12
Classification:  Mathematics - Quantum Algebra,  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Group Theory,  Mathematics - Rings and Algebras 
@article{0306208,
     author = {Borowiec, Andrzej and Dudek, Wieslaw A. and Duplij, Steven},
     title = {Basic concepts of ternary Hopf algebras},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306208}
}

Borowiec, Andrzej; Dudek, Wieslaw A.; Duplij, Steven. Basic concepts of ternary Hopf algebras. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306208/