Projective Modules Over Frobenius Algebras and Hopf Comodule Algebras

Projective Modules Over Frobenius Algebras and Hopf Comodule Algebras
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Frobenius 代数和 Hopf 余模代数的射影模

DOI:
10.1080/00927872.2011.617619
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发表时间:
2010
期刊:
影响因子:
--
通讯作者:
Loretta FitzGerald Tokoly
Loretta FitzGerald Tokoly
中科院分区:
--
文献类型:
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作者:
M. Lorenz;Loretta FitzGerald Tokoly

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给出了Frobenius代数和某些Hopf Galois扩张的投射模和Grothendieck群K0和G0的一些结果.我们的主要技术工具是Frobenius代数的Higman迹和Hopf Galois扩张上的Hattori-Stallings投影列的乘积公式。
This note presents some results on projective modules and the Grothendieck groups K 0 and G 0 for Frobenius algebras and for certain Hopf Galois extensions. Our principal technical tools are the Higman trace for Frobenius algebras and a product formula for Hattori-Stallings ranks of projectives over Hopf Galois extensions.