p-adic number

(redirected from P-adic integers)

p-adic number

(mathematics)
For a fixed prime number p, a fraction of the form a / p k , where a is a p-adic integer and k is a nonnegative integer; two such fractions, a / p k and b / p m , are considered equal if ap m and bp k are the same p-adic integer.
References in periodicals archive ?
These modules play important roles in various areas of algebra, primarily commutative algebra, including rings of p-adic integers and certain power series rings over division rings.
p] be denoted by the ring of p-adic integers, the field of p-adic rational numbers and the completion of algebraic closure of [Q.