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Normal bases for Hopf-Galois algebras |
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| Authors: | H F Kreimer |
| Institution: | Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510 |
| Abstract: | Let  be a Hopf algebra over a commutative ring  such that  is a finitely generated, projective module over  , let  be a right  -comodule algebra, and let  be the subalgebra of  -coinvariant elements of  . If  is a Galois extension of  and  is a local subalgebra of the center of  , then  is a cleft right  -comodule algebra or, equivalently, there is a normal basis for  over  . |
| Keywords: | Cleft Hopf algebra normal basis |
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