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Author:

Wang, Z. (Wang, Z..) (Scholars:王湛) | Yang, S. (Yang, S..)

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Abstract:

Let H be a Hopf algebra acting on a ring A, and let A H denote the invariant subring of A. It is shown that if H is semisimple and A is a finitely generated projective right A H—module then IdAH = IdA = Id(A#H). Moreover, if A is a left and right noetherian ring with gl.dimA < infin, it is deduced that gl.dimA. = gl.dimA. © 1999 Taylor and Francis Group, LLC.

Keyword:

Homological dimension; Hopf algebra action; Invariants

Author Community:

  • [ 1 ] [Wang, Z.]Department of Mathematics, Capital Normal University, Beijing, 100037, China
  • [ 2 ] [Yang, S.]Computer Institute, Beijing Polytechnic University, Beijing, 100044, China

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Source :

Quaestiones Mathematicae

ISSN: 1607-3606

Year: 1999

Issue: 2

Volume: 22

Page: 183-186

ESI Discipline: MATHEMATICS;

Cited Count:

WoS CC Cited Count:

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ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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