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Normal Bases for Hopf-Galois Algebras
H. F. Kreimer
Proceedings of the American Mathematical Society
Vol. 130, No. 10 (Oct., 2002), pp. 2853-2856
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1194601
Page Count: 4
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Let H be a Hopf algebra over a commutative ring R such that H is a finitely generated, projective module over R, let A be a right H-comodule algebra, and let B be the subalgebra of H-coinvariant elements of A. If A is a Galois extension of B and B is a local subalgebra of the center of A, then A is a cleft right H-comodule algebra or, equivalently, there is a normal basis for A over B.
Proceedings of the American Mathematical Society © 2002 American Mathematical Society