4 papers
Various Bialgebras Of Representative Functions On Free Monoids
Vincel Hoang Ngoc Minh
Factorization and decomposition of representative functions on a free monoid X * (generated by an alphabet X ) and with values in a ring A containing Q are equivalent to factorizat…
Three variations on the linear independence of grouplikes in a coalgebra
Gérard Duchamp, Darij Grinberg, Vincel Minh
The grouplike elements of a coalgebra over a field are known to be linearly independent over said field. Here we prove three variants of this result. One is a generalization to coa…
On the Algebraic Bases of Polyzetas
Vincel Hoang Ngoc Minh
Two confluent rewriting systems in noncommutatives polynomials are constructed using the equations allowing the identification of the local coordinates (of second kind) of the grap…
Hyperlogarithms: Functions on Free Monoids
Vincel Hoang Ngoc Minh
To factorize and to decompose the graphs of representative functions on the free monoid X * (generated by the alphabet X ) with values in the ring A containing Q, we examine variou…