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Concept
Homomorphism Of Rings
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Summary
A
Ring Homomorphism
is a
Function between two rings
that respects the
Ring operations
, meaning it
Preserves addition
, multiplication, and the
Identity Elements
. This
Structure-preserving Map
is essential in
Abstract Algebra
as it allows the
Exploration of ring properties
and their
Relationships under transformations
.
Concepts
Ring
Function
Structure-preserving Map
Addition Preservation
Multiplication Preservation
Identity Element
Kernel Of A Homomorphism
Image Of A Homomorphism
Isomorphism
Endomorphism
Automorphism
Commutative Ring
Integral Domain
Field
Ideal
Morphisms Of Locally Ringed Spaces
Spectrum Of An Algebra
Relevant Degrees
Algebra 70%
Number Theory 30%
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