Retrieving "Semigroup" from the archives
Cross-reference notes under review
While the archivists retrieve your requested volume, browse these clippings from nearby entries.
-
Identity Transformation
Linked via "semigroup"
Identity in Abstract Algebra
In any algebraic structure equipped with a binary operation (a semigroup or monoid), the identity element is defined by the property:
$$ a e = e a = a $$
where $e$ is the identity element and $a$ is any element in the set.