Sentence examples for be a submodule of from inspiring English sources

Let N be a submodule of M such that M / N is bounded.

Let (n > 1 ) and (N) be a submodule of (M) such that c.u.dim((N) = n - 1 ).

Let N be a submodule of H k (M ⊆ Msuch that N∩H ω (M =0.

Let N be a submodule of a QTAG-module M such that M/N is a direct sum of uniserial modules.

As an example, take the indecomposable injective Kronecker module X = Q 1 of length 3, let K be a submodule of length 2, and K ′ = K / soc.

On the other hand, let u ′ ′ : Y ′ ′ → Y be a submodule of Y such that u ′ ′ Hom ( C, P, Y ′ ′ ) ⊆ f Hom ( C, X ).

Now U ′ is a submodule of U, thus it is preprojective.

Consider U ′ ′ = U ′ ∩ K ′, this is a submodule of the kernel K of f.

If (N) is a submodule of (M), then c.u.dim((M/N) le ) c.u.dim((M)).

It can be easily checked that Z((M)) is a submodule of (M).

Thus (N oplus U) is a submodule of (M) of uniform dimension (m + 1).