Description
The characteristic of a ring characterizes its behavious under multiplication or repeated addition. Note that the same term is applicable to Körper as well.
Definition
Let ba a Commutative Ring. The Characteristic of is defined as
Feb 18, 20251 min read
The characteristic of a ring characterizes its behavious under multiplication or repeated addition. Note that the same term is applicable to Körper as well.
Definition
Let R ba a Commutative Ring. The Characteristic of R is defined as char(R)={n0falls n∈N minimal mit n⋅1R=0R ist, falls n⋅1R=0R fu¨r alle n∈N gilt