Category:P-adic Integers
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This category contains results about P-adic Integers.
Definitions specific to this category can be found in Definitions/P-adic Integers.
Let $\struct {\Q_p, \norm {\,\cdot\,}_p}$ be the $p$-adic numbers for some prime $p$.
An element $x \in \Q_p$ is called a $p$-adic integer if and only if $\norm x_p \le 1$.
The set of all $p$-adic integers is usually denoted $\Z_p$.
Thus:
- $\Z_p = \set {x \in \Q_p: \norm x_p \le 1}$
Subcategories
This category has the following 8 subcategories, out of 8 total.
Pages in category "P-adic Integers"
The following 16 pages are in this category, out of 16 total.
C
- Characterization of Integer has Square Root in P-adic Integers
- Characterization of Integer Polynomial has Root in P-adic Integers
- Characterization of Polynomial has Root in P-adic Integers
- Characterization of Rational P-adic Integer
- Characterization of Rational P-adic Unit
- Closed Subgroups of P-adic Integers
- Congruence Modulo a Principal Ideal of P-adic Integers
- Congruence Modulo Equivalence for Integers in P-adic Integers