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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.
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Source :
Quaestiones Mathematicae
ISSN: 1607-3606
Year: 1999
Issue: 2
Volume: 22
Page: 183-186
ESI Discipline: MATHEMATICS;
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30 Days PV: 0