Sentence examples for be a simple module from inspiring English sources

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

A pair of sites for two different kinds of factors with cooperative binding can be a simple module for signal integration, leading to the expression of the downstream gene only when both kinds of factors are present simultaneously [ 1].

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Thus Rad((M) =) soc((M) = S) is a simple module.

Now assume that S is a simple module such that P ( S ) almost factors through f.

The lattice S M has height 1 if and only if M is a simple module.

If (S) is a simple module, then (S oplus S) has couniserial dimension and (S) is also a cancellable module.

Thus (N = ) soc((M) = ) Rad((M)) is a simple module and so (M) is of length (2).

A proof similar to Proposition 13.3 shows that starting with any infinite family M of indecomposable modules with fixed length, there are infinite forks consisting of maps S → M, where S is a simple module and M ∈ M. A fork ( g i : S → M i ) i with S simple will be called a simple fork.

We have judged the algorithm described here to be optimal for the CRIS dataset: it is a simple module that is highly customizable to deal with changes in data entry, so that when limitations are recognised, large algorithm re-developments are not required and as mentioned above CRIS can also be generalised to other systems if needed.

Let (D) be a domain and (S ) be a simple (D -module.

Let V be a simple FX-module, and let Y = V ⋊ X Open image in new window and W also be a faithful simple LY-module.

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