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An R-module M is said to be unital if R is a commutative ring with multiplicative identity 1=1_R and if 1m=m for all elements m in M.

Let A be a C^*-algebra, then two element a,b of A are called unitarily equivalent if there exists a unitary u in A such that b=uau^*.

An operator U satisfying U^|U = 1 (1) UU^| = 1, (2) where U^| is the adjoint.

An aliquot sequence computed using the analog of the restricted divisor function s^*(n) in which only unitary divisors are included.

The unitary group U_n(q) is the set of n×n unitary matrices.

Sociable numbers computed using the analog of the restricted divisor function s^*(n) in which only unitary divisors are included.

The number 1. There are n nth roots of unity, known as the de Moivre numbers.

A function or transformation f in which f(z) does not overlap z. In modular function theory, a function is called univalent on a subgroup G if it is automorphic under G and ...

Involving one variable, as opposed to two (bivariate) or many (multivariate).

A property of individuals which is shared by every individual.