Geodesic
On the Inversion of Right Invariant Elements
Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 289-290

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we show that every (not necessarily commutative) integral domain R has a quotient ring which, although need not be a field, has the property that all of its right invariant elements are units. As an application this shows that every PRI (principal right ideal) domain can be embedded in a simple PRI domain which is, in general, not a field. 
Beauregard, Raymond A. On the Inversion of Right Invariant Elements. Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 289-290. doi: 10.4153/CMB-1975-054-x
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