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Hopf Algebra

Let a graded module $A$ have a multiplication $\phi$ and a co-multiplication $\psi$. Then if $\phi$ and $\psi$ have the unity of $k$ as unity and $\psi:(A,\phi)\to(A,\phi)\otimes(A,\phi)$ is an algebra homomorphism, then $(A,\phi,\psi)$ is called a Hopf algebra.




© 1996-9 Eric W. Weisstein
1999-05-25