Noether’s theorem for Hopf orders in group algebras

Weinraub, David M.

doi:10.1090/S0002-9947-1994-1148048-8

Noether’s theorem for Hopf orders in group algebras
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by David M. Weinraub PDF

Trans. Amer. Math. Soc. 342 (1994), 563-574 Request permission

Abstract:

Let K be a local field with valuation ring R of residue characteristic p containing a primitive pth root of unity ${\zeta _p}$. We state an analog to Noether’s Theorem for modules over R-Hopf algebras and use induction techniques to deduce a criterion for this analog to hold. We then construct a family of noncommutative Hopf algebras which satisfy the criterion.

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