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arxiv: 1008.4056 · v1 · pith:BRF3KV4Wnew · submitted 2010-08-24 · 🧮 math.RA

Projective modules over Frobenius algebras and Hopf comodule algebras

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keywords algebrasfrobeniushopfextensionsgaloismodulesprojectivecertain
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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.

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