Global dimension of triangular orders over a discrete valuation ring
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- by Vasanti A. Jategaonkar PDF
- Proc. Amer. Math. Soc. 38 (1973), 8-14 Request permission
Abstract:
We characterize triangular $R$-orders of finite global dimension in $n \times n$ matrix rings over the quotient field of DVR $R$ and obtain a precise upper bound for their global dimension, viz. $n - 1$. We also characterize triangular $R$-orders of highest global dimension.References
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Vasanti A. Jategaonkar, Global dimension of triangular orders over DVR, Notices Amer. Math. Soc. 18 (1971), 626. Abstract #71T-A107.
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 8-14
- DOI: https://doi.org/10.1090/S0002-9939-1973-0309988-4
- MathSciNet review: 0309988