On crossed products of Hopf algebras
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- by Maria E. Lorenz and Martin Lorenz PDF
- Proc. Amer. Math. Soc. 123 (1995), 33-38 Request permission
Abstract:
Let $B = A{\# _\sigma }H$ denote a crossed product of the associative algebra A with the Hopf algebra H. We investigate the weak dimension and the global dimension of B and show that ${\text {wdim}}\;B \leq {\text {wdim}}\;H + {\text {wdim}}\;A$ and ${\text {l.gldim}} \; B \leq {\text {r.gldim}} \; H + {\text {l.gldim}} \; A$.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 33-38
- MSC: Primary 16E10; Secondary 16S40, 16W30
- DOI: https://doi.org/10.1090/S0002-9939-1995-1227522-6
- MathSciNet review: 1227522