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I suggest to rename differential-equations to ordinary-differential-equations. (Now that the limit for the length of tagnames is 35 characters, the latter is a possible name for a tag.)
Both the tag-excerpt and the tag-info for (differential-equations) explicitly say that it is for ODEs and not ...
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A Krull-Schmidt category is a category $C$ where every object decomposes into a direct sum of objects with local endomorphism rings.
Now, the notion of a direct-sum is not valid in a general categorical to my knowledge so my guess is that they mean biproduct (at least in the additive categories ...
In category theory, a Krull–Schmidt category is a generalization of categories in which the Krull–Schmidt theorem holds. They arise, for example, in the study of finite-dimensional modules over an algebra.
== Definition ==
Let C be an additive category, or more generally an additive R-linear category for a commutative ring R. We call C a Krull–Schmidt category provided that every object decomposes into a finite direct sum of objects having local endomorphism rings. Equivalently, C has split idempotents and the endomorphism ring of every object is semiperfect.
== Properties ==
One has the analogue...
In mathematics, the Krull–Schmidt theorem states that a group subjected to certain finiteness conditions on chains of subgroups, can be uniquely written as a finite direct product of indecomposable subgroups.
== Definitions ==
We say that a group G satisfies the ascending chain condition (ACC) on subgroups if every sequence of subgroups of G:
1
=
G
0
≤
G
1
≤
G
2
...
