Dayto

Deuters, or deuterocelendras, are a set of natural numbers that can be arranged in such a way that their product equals one. In Russian, all deuters are called datirs. This term was introduced by the American mathematician John von Neumann in 1936. The decision to include dators in some mathematical problems depends on one circumstance: does a given natural number with the property a1⋅a2...an=1 have prime factorization?

The German mathematician Hans Deuter studied deuters; This type of numbers is named after him. One of the first deuterium taxonomists was Leonard Kronecker, who published the results of his research in his 1857 dissertation. At the same time, Valer Anton (Vaaler) was working with him in his graduate work in 1981 at the Massachusetts Institute of Technology (MIT). Both authors both began and continued their careers in America or Germany and are contemporaries of each other; each of them wrote a fundamental work on Deuterostructure.

Note that for deuters, the Deuter set can be defined not only as a set of subsets of the natural series, but also as an infinite set of units of submatrices of matrices with a diagonal product equal to one (this occurs in the study of closed algebraic and functional groups).