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Concept
First Isomorphism Theorem
The
First Isomorphism Theorem
states that for a homomorphism between two
algebraic structures
, the
quotient of the domain
by the kernel is isomorphic to the
image of the homomorphism
. This theorem provides a
fundamental connection
between homomorphisms, kernels, and images, simplifying the study of
algebraic structures
by allowing the reduction of problems to simpler, quotient structures.
Relevant Degrees
Algebra 100%
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