On making rings weakly finite
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- by Peter Malcolmson PDF
- Proc. Amer. Math. Soc. 80 (1980), 215-218 Request permission
Abstract:
Given an associative ring R with unit we construct the largest homomorphic image of R such that every right invertible square matrix is left invertible. The construction may be accomplished in one step. Related results are also given.References
- P. M. Cohn, Free rings and their relations, London Mathematical Society Monographs, No. 2, Academic Press, London-New York, 1971. MR 0371938
- P. M. Cohn, Some remarks on the invariant basis property, Topology 5 (1966), 215–228. MR 197511, DOI 10.1016/0040-9383(66)90006-1
- K. R. Goodearl and D. Handelman, Rank functions and $K_{O}$ of regular rings, J. Pure Appl. Algebra 7 (1976), no. 2, 195–216. MR 389965, DOI 10.1016/0022-4049(76)90032-3
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 215-218
- MSC: Primary 16A42; Secondary 16A54
- DOI: https://doi.org/10.1090/S0002-9939-1980-0577746-5
- MathSciNet review: 577746