Sentence examples for a direct sum of from inspiring English sources

The phrase "a direct sum of" is correct and usable in written English.
It is typically used in mathematics, particularly in linear algebra and abstract algebra, to describe a specific way of combining vector spaces or groups.
Example: "The vector space can be expressed as a direct sum of its subspaces."
Alternatives: "a total combination of" or "an additive combination of".

Exact(60)

is also a direct sum of uniserial modules.

Hence, E is a direct sum of cyclic groups.

which is a direct sum of uniserial modules.

It is shown that every isometry is a direct sum of these types.

If N is h-distinctive, then M is also a direct sum of uniserial modules.

By Theorem 30.2 in [5], A is a direct sum of cyclic groups.

is a direct sum of uniserial modules implying that M/N is totally projective.

M/(N⊕H ω (M)) is a direct sum of uniserial modules and.

Thus, M/(N⊕H ω (M)) is also a direct sum of uniserial modules.

In other words M is a direct sum of countably generated modules.

A rigid embedding between such algebras is a direct sum of certain nondegenerate multiplicity one star-extendible embeddings.

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