Sentence examples similar to singular ring from inspiring English sources
Let (R) be a right non-singular ring with maximal right quotient ring (Q).
Let (R) be a semiprime right non-singular ring with maximal right quotient ring, (Q).
A semiprime right non-singular ring (R) is semiprime right Goldie ring if and only if u.dim((R_R)) is finite, [9, Theorem 3.17].
If the maximal right quotient ring of a semiprime right non-singular ring (R) has a couniserial dimension as an (R -module, then (R -moduleemiprime righthenldie Risg.
Theorem 4.10 in Sect. 4 shows that for a semiprime right non-singular ring (R) with maximal right quotient ring (Q), if (Q_R) has couniserial dimension, then (R) is a semiprime right Goldie ring which is a finite product of piecewise domains.
For example, one can envision a singular cohesin ring opening and closing around sister chromatids at CAR loci, as has been previously suggested [42].
Yet, it was really the latter which became the singular clarion call that rang louder than any, as woman after woman told me, "I'm not a techie".
Using a recent immobilization method that ensures the viability and integrity of the yeast cells [ 28], we showed that a temperature shift from 30 to 42°C induced the singular formation of circular rings that initiate at a single point on the yeast cell surface and expanded in a concentric manner to reach a diameter of 2 to 3 μm after 1 h of incubation.
European leaders have said that taking money from Cypriot bank deposits is a singular event, but this assurance will ring hollow in light of their poor track record in dealing with the euro crisis.
We recall that a right V-ring is fully right idempotent (see [19, Corollary 2.2]) and a prime fully right idempotent ring is right non-singular (see [2, Lemma 4.3]).
