Math 2.0

Commutative algebra Concept

Greatest common divisor in an integral domain

Summary

A greatest common divisor of two elements of an integral domain is a common divisor that every common divisor divides. It is unique up to associates when it exists. The definition of a greatest common divisor gives the conditions.

Further reading

  1. Web https://en.wikipedia.org/wiki/GCD_domain, lead section
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