identity element
91Semidirect product — In mathematics, especially in the area of abstract algebra known as group theory, a semidirect product is a particular way in which a group can be put together from two subgroups, one of which is a normal subgroup. A semidirect product is a… …
92Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… …
93Magma (algebra) — In abstract algebra, a magma (or groupoid; not to be confused with groupoids in category theory) is a basic kind of algebraic structure. Specifically, a magma consists of a set M equipped with a single binary operation . A binary operation is… …
94Monad (functional programming) — In functional programming, a monad is a programming structure that represents computations. Monads are a kind of abstract data type constructor that encapsulate program logic instead of data in the domain model. A defined monad allows the… …
95Subgroup — This article is about the mathematical concept For the galaxy related concept, see Galaxy subgroup. Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum …
96Unital — In mathematics, an algebra is unital (some authors say unitary) if it contains a multiplicative identity element (or unit ), i.e. an element 1 with the property 1 x = x 1 = x for all elements x of the algebra.This is equivalent to saying that the …
97Cycle graph (algebra) — For other uses, see Cycle graph (disambiguation). In group theory, a sub field of abstract algebra, a group cycle graph illustrates the various cycles of a group and is particularly useful in visualizing the structure of small finite groups. For… …
98Rng (algebra) — In abstract algebra, a rng (also called a pseudo ring or non unital ring) is an algebraic structure satisfying the same properties as a ring, except that multiplication need not have an identity element. The term rng (pronounced rung ) is meant… …
99Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… …
100Cayley's theorem — In group theory, Cayley s theorem, named in honor of Arthur Cayley, states that every group G is isomorphic to a subgroup of the symmetric group on G . This can be understood as an example of the group action of G on the elements of G .A… …
