Shuffle quadri-algebras and concatenation
Mohamed Belhaj MohamedTaibah University, Saudi Arabia, and Université de Sousse, Tunisia
Dominique ManchonUniversité Blaise Pascal, Aubière, France
A subscription is required to access this book chapter.
In this article, we study the shuffle quadri-algebra over some vector space. We prove the existence of some relations between the four quadri-algebra laws which constitute the shuffle product, the concatenation product and the deconcatenation coproduct. We also show that the shuffle quadri-algebra admits two module-algebra structures on itself endowed with the underlying associative algebra structure.