Geodesic
Gocommutative Hopf Algebras
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 350-360

Voir la notice de l'article provenant de la source Cambridge University Press

A coalgebra over the field F is a vector space A over F, with maps δ: A → A ⊗ A and ∊: A → F such that 1 and 2 The notion of coalgebra is dual to the notion of algebra with unit, with δ as coproduct (equation (1) says that δ is associative) and ∊ as the unit map (equation (2) is just the statement that ∊ is a unit for the coproduct δ). If A is also an algebra with unit and δ and ∊ are algebra homomorphisms, A is a Hopf algebra. 
Larson, Richard G. Gocommutative Hopf Algebras. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 350-360. doi: 10.4153/CJM-1967-026-x
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