Global dimension of triangular orders
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- by Richard B. Tarsy PDF
- Proc. Amer. Math. Soc. 28 (1971), 423-426 Request permission
Abstract:
The triangular orders of finite global dimension in $n \times n$ matrices over the quotient field of a DVR are found and a bound is given for their dimensions.References
- K. L. Fields, On the global dimension of residue rings, Pacific J. Math. 32 (1970), 345–349. MR 271166
- K. L. Fields, Examples of orders over discrete valuation rings, Math. Z. 111 (1969), 126–130. MR 246913, DOI 10.1007/BF01111193
- Manabu Harada, Hereditary orders, Trans. Amer. Math. Soc. 107 (1963), 273–290. MR 151489, DOI 10.1090/S0002-9947-1963-0151489-9
- Irving Kaplansky, Commutative rings, Allyn and Bacon, Inc., Boston, Mass., 1970. MR 0254021 S. Mac Lane, Homology, Die Grundlehren der math. Wissenschaften, Band 114, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 28 #122.
- Lance W. Small, A change of rings theorem, Proc. Amer. Math. Soc. 19 (1968), 662–666. MR 223412, DOI 10.1090/S0002-9939-1968-0223412-X
- Richard B. Tarsy, Global dimension of orders, Trans. Amer. Math. Soc. 151 (1970), 335–340. MR 268226, DOI 10.1090/S0002-9947-1970-0268226-3
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 423-426
- MSC: Primary 16.90
- DOI: https://doi.org/10.1090/S0002-9939-1971-0274527-1
- MathSciNet review: 0274527