ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Collection of sets
▼ Set union
▼ Successor set
▼ Inductive set
▼ Set of inductive sets
▼ Set of natural numbers
▼ Set of integers
▼ Set of rational numbers
▼ Set of euclidean rational numbers
Definition D5968
Set of euclidean integers
Formulation 0
Let $\mathbb{Z}$ be the D367: Set of integers.
The set of euclidean integers with respect to $N \in \{ 1, 2, 3, \ldots \}$ is the D11: Set \begin{equation} \mathbb{Z}^N = \prod_{n = 1}^N \mathbb{Z} \end{equation}
Children
▶ D5179: Set of euclidean natural numbers