Question

order definition in modern algebra​

Answer 1

Answer:

The order of an element a of a group, sometimes also called the period length or period of a, is the smallest positive integer m such that am = e, where e denotes the identity element of the group, and am denotes the product of m copies of a. If no such m exists, a is said to have infinite order.

Answer 2

Answer:

The order of an element a of a group, sometimes also called the period length or period of a, is the smallest positive integer m such that am = e, where e denotes the identity element of the group, and am denotes the product of m copies of a. If no such m exists, a is said to have infinite order.

Step-by-step explanation:

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