English

Projective modules over Frobenius algebras and Hopf comodule algebras

Rings and Algebras 2010-08-25 v1

Abstract

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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Cite

@article{arxiv.1008.4056,
  title  = {Projective modules over Frobenius algebras and Hopf comodule algebras},
  author = {Martin Lorenz and Loretta FitzGerald Tokoly},
  journal= {arXiv preprint arXiv:1008.4056},
  year   = {2010}
}

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15 pages