Sentence examples for cyclic right from inspiring English sources

Recall that a ring R is called right CF if every cyclic right R-module can be embedded into a free right R-module.

Let (M) be a non-zero cyclic right module which does not contain anti-coHopfian module and let (S) be a simple module.

Now let (J_3) be a cyclic right ideal contained in (J_2) and by continuing this manner we have a descending chain (J_1 ge J_2 ge cdots ) of right ideals of (D) where for each odd integer (i), (J_i) is cyclic and for each even integer (i), (J_i) is not cyclic.

C is called a cyclic code, if for every codeword c = (c1,…,c n ) from C, the word (c n, c1, …, cn − 1) in F n obtained by a cyclic right shift of components is also a codeword from C. We have selected the BCH (15,7,5) and the BCH (63,16,23) error correcting codes for the purpose of our experimentation.

Of central importance will be the cyclic right-shift operator R : X m → X m : ( x 1, x 2 …, x m ) ↦ ( x m, x 1, …, x m - 1 ) (10). and for convenience we set M = I d - R. (11).

Let (I) be a non-cyclic right ideal of (D).

So (iota ( Q_{j})) and thus (T) contains a non-cyclic right ideal of (Q) and thus since (T cong Q/T_1), there exists a non-cyclic right ideal of (Q), say (K_1) such that ( Q ge K_1 ge T_1 ).

Since (T cong Q/ T_1), there exists a non-cyclic right ideal (K_1) of (Q) such that (Q ge K_1 ge T_1).

If I were to bet my own money on it, I'd bet the cyclic idea is right," he told BBC News.

Figure 5 illustrates the cyclic voltammograms measured right after the 10-min activation of a sample with the H2O2 NaOH [1:2] solution and 1, 2, and 3 weeks later.

We implanted PLA/β-TCP scaffolds in the distal femur of six rats, applied external cyclic loading on the right leg, and kept the left leg as a control.