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Additional
Augmentation (algebra)
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Augmentation (algebra)
In
algebra
, an
augmentation
of an
associative algebra
A
over a
commutative ring
k
is a
k
-
algebra homomorphism
, typically denoted by e. An algebra together with an augmentation is called an
augmented algebra
. The kernel of the augmentation is a two-sided ideal called the
augmentation ideal
of
A
.
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