“Introduction of Euclidean Domain”

Euclidean domain is also known as Euclidean ring. It is an integral domain which is associated with at least one Euclidean function [1]. A non zero commutative ring in which of product two non zero element is non zero is known as integral domain. Integral domain is generalization of ring of integers [2]. In Euclidean domain we use Euclidean algorithm for calculating greatest common divisors of two elements. Greatest common divisors of two elements always exist and this can be represented in linear combination of these elements. Euclidean domain has ideals and every ideal of Euclidean domain is principal ideal [3]. Euclidean domain has property of unique factorization domain and every Euclidean domain is a unique factorization domain it means every non zero non unit element can be written as product of prime elements.