Unital may refer to:
* A
unital algebra
In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic structure consisting of a set together with operations of multiplication and addition a ...
– an algebra that contains a multiplicative identity element.
* A
geometric unital – a block design for integer .
* A unital
algebraic structure
In mathematics, an algebraic structure consists of a nonempty set ''A'' (called the underlying set, carrier set or domain), a collection of operations on ''A'' (typically binary operations such as addition and multiplication), and a finite set of ...
, such as a unital magma.
* A
unital map
In abstract algebra, a unital map on a C*-algebra is a map \phi which preserves the identity element:
:\phi ( I ) = I.
This condition appears often in the context of completely positive maps, especially when they represent quantum operations. ...
on C*-algebras – a map that preserves the identity element.
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