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Commutative algebra
Commutative algebra
is the branch of
algebra
that studies
commutative rings
, their
ideals
, and
modules
over such rings. Both
algebraic geometry
and
algebraic number theory
build on commutative algebra. Prominent examples of commutative rings include
polynomial rings
, rings of
algebraic integers
, including the ordinary
integers
, and
p-adic integer
s.
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