A change of rings theorem
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- by Lance W. Small PDF
- Proc. Amer. Math. Soc. 19 (1968), 662-666 Request permission
References
- Maurice Auslander and David A. Buchsbaum, Homological dimension in noetherian rings. II, Trans. Amer. Math. Soc. 88 (1958), 194–206. MR 96720, DOI 10.1090/S0002-9947-1958-0096720-1
- Stephen U. Chase, A generalization of the ring of triangular matrices, Nagoya Math. J. 18 (1961), 13–25. MR 123594 I. Kaplansky, Homological dimension of rings and modules, Math. Lecture Notes, Univ. of Chicago, 1959.
- Saunders Mac Lane, Homology, Classics in Mathematics, Springer-Verlag, Berlin, 1995. Reprint of the 1975 edition. MR 1344215
- Lance W. Small, An example in Noetherian rings, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1035–1036. MR 188252, DOI 10.1073/pnas.54.4.1035
- Lance W. Small, Hereditary rings, Proc. Nat. Acad. Sci. U.S.A. 55 (1966), 25–27. MR 186720, DOI 10.1073/pnas.55.1.25
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 662-666
- MSC: Primary 16.90; Secondary 13.00
- DOI: https://doi.org/10.1090/S0002-9939-1968-0223412-X
- MathSciNet review: 0223412