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angleščina
The identity map, an empty product of no transpositions, is an even permutation since zero is even; it is the identity element of the group.
en.wikipedia.org
Overriding is an associative operation; it has the empty function as an identity element.
en.wikipedia.org
The first axiom is akin to the associativity in monoids, the second axiom to the existence of an identity element.
en.wikipedia.org
A commutative domain with a multiplicative identity element is called an integral domain.
en.wikipedia.org

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