Sentence examples for uniform module from inspiring English sources

This example shows that even direct sum of a uniform module with itself may not have couniserial dimension.  .

If all finitely generated right modules have couniserial dimension, then every right module contains a noetherian uniform module.

Noise was characterised on the images of the Catphan CTP 485 uniform module as the standard deviation of pixel values within a square region of interest (ROI) located at the centre of the phantom module.

If u.dim((R_R) = n), then (R) has a decomposition into (n) uniform modules.

Thus it contains an infinite direct sum of uniform modules, say (oplus _{i = 1}^{infty } K_i ).

To start with, let (zeta _{1}) be the class of all uniform modules.

The following lemma shows that the direct sum of two uniform modules may not have couniserial dimension.

For infinite countable couniserial dimension one can show under some condition that the module can be represented as a direct sum of uniform modules.

Sources of non-ideal module performance are identified that arise from non-uniform module flows.

If (M_n ) is uniform (R -module, then it is also unifoR -moduledule.

So it is a descending chain of (R -submodules of (M) and thus, foR -submodulesM_n) is unifofM (R)-module or (M_n cong M_i) and(R)-modules for all (i ge n).