Ranks of matrices over Ore domains
HTML articles powered by AMS MathViewer
- by H. Bedoya and J. Lewin PDF
- Proc. Amer. Math. Soc. 62 (1977), 233-236 Request permission
Abstract:
Let R be a Noetherian Ore domain. Then rank M = inner rank M for every matrix M over R if and only if R is projective-free of global dimension at most 2.References
-
G. Bergman, Commuting elements in free algebras and related topics in ring theory, Thesis, Harvard University, 1967.
- Karl W. Gruenberg, Cohomological topics in group theory, Lecture Notes in Mathematics, Vol. 143, Springer-Verlag, Berlin-New York, 1970. MR 0279200
- Irving Kaplansky, Fields and rings, 2nd ed., Chicago Lectures in Mathematics, University of Chicago Press, Chicago, Ill.-London, 1972. MR 0349646
- David Lissner and Anthony Geramita, Remarks on $\textrm {OP}$ and Towber rings, Canadian J. Math. 22 (1970), 1109–1117. MR 271089, DOI 10.4153/CJM-1970-128-6
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 233-236
- MSC: Primary 16A06
- DOI: https://doi.org/10.1090/S0002-9939-1977-0437573-6
- MathSciNet review: 0437573