Monomial Hopf algebras ✩

2 00 4 Monomial Hopf Algebras

Let K be a field of characteristic 0 containing all roots of unity. We classified all the Hopf structures on monomial K-coalgebras, or, in dual version, on monomial K-algebras.

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Let K be a field of characteristic 0 containing all roots of unity. We classified all the Hopf structures on monomial K-coalgebras, or, in dual version, on monomial K-algebras.

[ m at h . Q A ] 4 A ug 2 00 3 MONOMIAL HOPF ALGEBRAS

Let K be a field of characteristic 0 containing all roots of unity. We classify the all Hopf structures on monomial K-coalgebras, or, in dual version, on monomial K-algebras.

On Monomial Algebras of Finite Global Dimension

Let G be an associative monomial k-algebra. If G is assumed to be finitely presented, then either G contains a free subalgebra on two monomials or else G has polynomial growth. If instead G is assumed to have finite global dimension, then either G contains a free subalgebra or else G has a finite presentation and polynomial growth. Also, a graded Hopf algebra with generators in degree one and r...

On the Coderivations of Some Hopf Algebras