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设H是域k上的有限维Hopf代数,A是左H-模代数,AH是A的H-不变子环.假定A/AH是半单扩张且A是平坦的右AH-模.如果H*是unimodular,且存在c∈C(A),使t·c=1.我们证明了WD(AH)=WD(A)=WD(A#H).此外,如果A是投射的左及右AH-模,则有LD(AH)=LD(A)=LD(A#H). 相似文献
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Let H be a Hopf algebra over a field with bijective antipode, and A a commutative cleft right H-comodule algebra. In this paper, we investigate the ho-mological dimensions and the semisimplicity of the category of relative Hopf modulesAMH. 相似文献
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1 IntroductionLet A/R be a ring extension with the common identity 1. A/R is said to be separable if theA-bimodule homomorphism of A @R A onto A defined by a @ 5-a6 splits. A separableextension over a non-commutative ring generalizes that over a commutative ring which wasdiscussed in [1]. Hirata introduced anOther kind of separable extensions called H-separabeones (see [2]). A/R is said to be H-separable if A @R A is isomorphic as an A-bimoduleto a direct sumrnand of A". riom {2, Theor… 相似文献
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代数A在子代数A^H上投射的若干充分条件 总被引:1,自引:0,他引:1
假设H是域k上的有限维Hopf代数,A是H-模代数,本文刻画了A^HA的投射性并给出了A^HA是投射的若干充分条件,其中A^H是A的H-不变子代数。 相似文献
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<正> 对于定义在矩形I={(x,y),a≤x≤b,c≤y≤d}上的连续函数f(x,y),我们有古典的公式:integral from I f(x,y)dxdy=ingetral from a to b[ingetral from c to d f(x,y)dy]dx=integral from a to b f(x,y)dx]dy。本文推广累次积分公式,给出完全测度空间上的Fubini 定理。给定两个测度空间(X,(?),μ),(y,(?),v),称X×Y 中集A×B 为矩形,若A∈(?),B∈(?), 相似文献