In algebra, the Malvenuto–Poirier–Reutenauer Hopf algebra of permutations or MPR Hopf algebra is a Hopf algebra with a basis of all elements of all the...

Bernard; Thibon, Jean-Yves (1996), "Fonctions quasi-symétriques, fonctions symétriques non commutatives et algèbres de Hecke à q = 0 {\displaystyle q=0} ", C...

and Lie Groups, 1965]." It also appears in Bourbaki's Éléments de mathématique, Algèbre, chapitres 1 à 3, 1970. A magma is a set M matched with an operation...

C {\displaystyle \mathbb {C} } ) into the category of finite dimensional Hopf algebras, so that the Pontryagin duality functor G ↦ G ^ {\displaystyle G\mapsto...

Introduction to commutative algebra. Addison–Wesley. Bourbaki, N. (1964). Algèbre commutative. Hermann. Bourbaki, N. (1989). Algebra I, Chapters 1–3. Springer...