Identity vs Monoid - What's the difference?
identity | monoid |
Sameness, identicalness; the quality or fact of (several specified things) being the same.
* 1997 , Hydrothermal Vent Fauna'', in ''Advances in Marine Biology: The Biogeography of the Oceans , page 111:
The difference or character that marks off an individual from the rest of the same kind, selfhood.
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A name or persona—the mask or appearance one presents to the world—by which one is known.
Sense of who one is.
(algebra, computing) Any function which maps all elements of its domain to themselves.
(algebra) An element of an algebraic structure which, when applied to another element under an operation in that structure, yields this, second element.
(mathematics) A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.
As nouns the difference between identity and monoid
is that identity is the sameness some individuals share to make up the same kind or universal while monoid is (mathematics) a set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.identity
English
(wikipedia identity)Noun
(identities)- This criminal has taken on several identities .
- I've been through so many changes, I have no sense of identity .
- This nation has a strong identity .