Multiplicative orders of elements of rings

Content created by Egbert Rijke and Gregor Perčič.

Created on 2023-09-21.
Last modified on 2023-09-21.

module ring-theory.multiplicative-orders-of-units-rings where


The multiplicative order of an invertible element x of a ring R is the order of x in the group of multiplicative units. In other words, it is the normal subgroup of the group of integers consisting of all integers k such that xᵏ = 1.

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