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Keywords: this paper has been retracted because it is a plagiarism of other already published papers, overlapping shuffle product, Lyndon words, quasi-symmetrical functions 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/