On Utumi's Ring of Quotients
- 1 January 1963
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 15, 363-370
- https://doi.org/10.4153/cjm-1963-041-4
Abstract
The purpose of this note is to establish and exploit the fact that Utumi's maximal ring of right quotients (6) of an associative ring R (let us say with 1) is the bicommutator of the minimal injective extension of R regarded as a right R-module. Nothing new will be said about Johnson's ring of quotients (4), which is still the most important case.Keywords
This publication has 6 references indexed in Scilit:
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