### Some articles on *hopf*:

Hopf Algebras - Formal Definition - Hopf Subalgebras

... A subalgebra A of a

... A subalgebra A of a

**Hopf**algebra H is a**Hopf**subalgebra if it is a subcoalgebra of H and the antipode S maps A into A ... In other words, a**Hopf**subalgebra A is a**Hopf**algebra in its own right when the multiplication, comultiplication, counit and antipode of H is restricted to A (and additionally the identity 1 of H is ... As a corollary of this and integral theory, a**Hopf**subalgebra of a semisimple finite-dimensional**Hopf**algebra is automatically semisimple ...Hopf Algebra - Formal Definition - Hopf Subalgebras

... A subalgebra A of a

... A subalgebra A of a

**Hopf**algebra H is a**Hopf**subalgebra if it is a subcoalgebra of H and the antipode S maps A into A ... In other words, a**Hopf**subalgebra A is a**Hopf**algebra in its own right when the multiplication, comultiplication, counit and antipode of H is ... As a corollary of this and integral theory, a**Hopf**subalgebra of a semisimple finite-dimensional**Hopf**algebra is automatically semisimple ...### Famous quotes containing the word normal:

“We have been weakened in our resistance to the professional anti-Communists because we know in our hearts that our so-called democracy has excluded millions of citizens from a *normal* life and the *normal* American privileges of health, housing and education.”

—Agnes E. Meyer (1887–1970)

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