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Concept
Abelian Groups
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Summary
An
Abelian group
is a
set equipped with an operation
that combines any two elements to form a
third element
, satisfying the
properties of closure
, associativity, identity, invertibility, and commutativity. Named after
mathematician Niels Henrik Abel
, these groups are
foundational in abstract algebra
and are characterized by the fact that the
order of operation
does not
affect the result
.
Relevant Degrees
Algebra 100%
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