Mikhail Kotchetov - Identities in Hopf algebras

1)  a brief introduction to Hopf algebras (definitions and basic examples), 2)  identities and coidentities (definition and basic properties), 3)  examples of Hopf algebras with an identity or a coidentity. The notion of a coidentity is new, it is introduced in my paper (see below). As examples of Hopf algebras with an identity or a coidentity Taft's algebras and smash products are considered. For smash products the necessary and sufficient condition of having a polynomial identity is proved. For Taft's algebras the basis of identities and coidentities is found.

On Identities for Coalgebras and Hopf Algebras. Comm. Algebra, to appear in early 2000.