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Concept
Identity Morphism
An
identity morphism
is a
morphism in category theory
that acts as a
neutral element for composition
, meaning it
maps an object to itself
and
leaves other morphisms unchanged
when composed. It ensures the
structure of a category
by satisfying the
identity law
, which states that for
every object
, there is an
identity morphism
that acts as a
left and right identity
for
composition with other morphisms
.
Relevant Degrees
Algebra 70%
Fundamentals of Mathematics 30%
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