### Some articles on *left, left bialgebroid, bialgebroid*:

Hopf Algebras - Related Concepts

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**left**Hopf algebroid (H,R) is a**left bialgebroid**together with an antipode the**bialgebroid**(H,R) consists of a total algebra H and a base algebra R and two mappings, an algebra homomorphism s R → H called a ... In particular a**left bialgebroid**(H,R) has an R-R-bimodule structure on H which prefers the**left**side as follows for all h in H ... Additionally the**bialgebroid**(H,R) must satisfy Δ(ab) = Δ(a)Δ(b) for all a,b in H, and a condition to make sure this last condition makes sense every image point Δ(a) satisfies ...### Famous quotes containing the word left:

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—Grace Baruch (20th century)

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