交换代数的lazy上循环

Abstract

Abstract:

In this paper, the author defines the lazy left 2-cocycles σ: H H → A for a Hopf algebra H and a commutative algebra A, and shows that there exists a correspondence between the lazy 2-cocycles and the lazy H-cleft objects.

Key words: Hopf algebra, Lazy cocycle, Crossed product, Cleft extension

CLC Number:

16W30

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JU Teng-Xia. Lazy Cocycles for Commutative Algebras[J].Acta mathematica scientia,Series A, 2009, 29(5): 1355-1363.

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References

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[2] Carnovale G. Some isomorphisms for the brauer groups of a hopf algebra. Comm Algebra, 2001, 29: 5291--5305

[3] Doi Y. Equivalent crossed products for a Hopf algebra. Comm Algebra, 1989, 17: 3053--3085

[4] Doi Y, Takeuchi M. Cleft comodule algebras for a bialgebra. Comm Algebra, 1986, 14: 801--817

[5] Montogomery S. Hopf Algebras and Their Actions on Rings. Provience: American Mathematical Society, 1993

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[7] Sweedler M E. Hopf Algebras. New York: Benjamin, 1969

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Lazy Cocycles for Commutative Algebras

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