Projective modules over Frobenius algebras and Hopf comodule algebras


appeared in: Comm. in Algebra 39, 4733--4750 (2011)
arXiv: http://arxiv.org/abs/1008.4056

Abstract: This note presents some results on projective modules and the Grothendieck groups K0 and G0 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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