In mathematics, an involution, involutory function, or self-inverse function is a function f that is its own inverse, f(f(x)) = x for all x in the domain...

up involution in Wiktionary, the free dictionary. Involution may refer to: Involution (mathematics), a function that is its own inverse Involution algebra...

generalization of idempotence to binary relations Idempotent (ring theory) Involution (mathematics) Iterated function List of matrices Nilpotent Pure function Referential...

may happen that an algebra admits no involution. Look up * or star in Wiktionary, the free dictionary. In mathematics, a *-ring is a ring with a map * :...

Maths History. Retrieved 2025-04-19. "Cremona group - Encyclopedia of Mathematics". encyclopediaofmath.org. Retrieved 2025-05-30. "A propos des travaux...

In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance...

category theory, a branch of mathematics, a dagger category (also called involutive category or category with involution) is a category equipped with...

identity |−x| = |x|). Monoid Inverse function Involution (mathematics) Multiplicative inverse Reflection (mathematics) Reflection symmetry Semigroup Gallian...

structures in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. In other cases...

matrix. These are both symmetric, they are their own inverses (see Involution (mathematics)), and each have determinant −1. This latter property makes them...

In mathematics, a Fricke involution is the involution of the modular curve X0(N) given by τ → –1/Nτ. It is named after Robert Fricke. The Fricke involution...

semisimple Lie algebra has a Cartan involution, and any two Cartan involutions are equivalent. A Cartan involution on s l n ( R ) {\displaystyle {\mathfrak...

In mathematics, the telephone numbers or the involution numbers form a sequence of integers that count the ways n people can be connected by person-to-person...

inverse Involution (mathematics), a function that is its own inverse (when applied twice, the starting value is obtained) Inversion (discrete mathematics),...

In mathematics, a fixed point (sometimes shortened to fixpoint), also known as an invariant point, is a value that does not change under a given transformation...

In mathematics, particularly in abstract algebra, a semigroup with involution or a *-semigroup is a semigroup equipped with an involutive anti-automorphism...

In mathematical finite group theory, the classical involution theorem of Aschbacher (1977a, 1977b, 1980) classifies simple groups with a classical involution...

axis (a horizontal reflection) would look like b. A reflection is an involution: when applied twice in succession, every point returns to its original...

Cayley–Dickson construction takes any algebra with involution to another algebra with involution of twice the dimension.: 45  Hurwitz's theorem states...

identity; for this reason, the resulting operator is called an Atkin–Lehner involution. If e and f are both Hall divisors of N, then We and Wf commute modulo...

The function is linear. Involution: Exclusive or with one specified input, as a function of the other input, is an involution or self-inverse function;...

the classical involution theorem The infinite Thompson groups F, T and V studied by the logician Richard Thompson. Outside of mathematics, it may also...

by the matrix A n × n {\displaystyle {\mathbf {A}}_{n\times n}} is an involution if and only if A 2 = I , {\displaystyle {\mathbf {A}}^{2}={\mathbf {I}}...

inwards' IPA: [nei̯˥˩tɕɥɛn˩˧]) is the Chinese calque of the English word involution. Neijuan is written with two characters which mean "inside" and "rolling"...

first place. Every involution on a finite set with an odd number of elements has a fixed point; more generally, for every involution on a finite set of...

of the atma (soul) through its imagined evolution, reincarnation, and involution, to its goal, its origin, of Paramatma (Over-soul). The journey winds...

In mathematics and theoretical physics, a superalgebra is a Z2-graded algebra. That is, it is an algebra over a commutative ring or field with a decomposition...

group is said to be of component type if for some centralizer C of an involution, C/O(C) has a component (where O(C) is the core of C, the maximal normal...

In mathematics, specifically in functional analysis, a C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the...

Semigroup with involution Jacobson, Nathan (1943). The Theory of Rings. Mathematical Surveys and Monographs. Vol. 2. American Mathematical Society. p. 16...