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New Course
Concept
Splitting Lemma
The
Splitting Lemma
is a
fundamental result
in
homological algebra
that provides conditions under which a
short exact sequence
of modules splits, meaning it is isomorphic to a
direct sum
of its submodules. This lemma is essential for understanding the
structure of modules
and their extensions, allowing for simplification and
deeper analysis
of
module relationships
.
Relevant Degrees
Algebra 70%
Geometry 30%
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