Geodesic
Hopf algebras of words and overlapping shuffle algebra (Retracted)
Kragujevac Journal of Mathematics, Tome 30 (2007), p. 315 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper we consider the free Z-module generated by finite words in a certain alphabet and three multiplications on such modules and their dual comultiplications and we find which of these operations can be combined to obtain Hopf structures. We will direct a special attention on one of those structures, known as overlapping shuffle algebra and its properties.
Classification : 16T30
Keywords: this paper has been retracted because it is a plagiarism of other already published papers, overlapping shuffle product, Lyndon words, quasi-symmetrical functions 
@article{KJM_2007_30_a23,
     author = {Olivera Markovi\'c},
     title = {Hopf algebras of words and overlapping shuffle algebra {(Retracted)}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {315 },
     publisher = {mathdoc},
     volume = {30},
     year = {2007},
     zbl = {1182.16029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2007_30_a23/}
}
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Olivera Marković. Hopf algebras of words and overlapping shuffle algebra (Retracted). Kragujevac Journal of Mathematics, Tome 30 (2007), p. 315 . http://geodesic.mathdoc.fr/item/KJM_2007_30_a23/