GCD domain

In mathematics, a **GCD domain** (which stands for **Greatest Common Divisor domain**) is a type of integral domain that possesses certain properties regarding the divisibility of its elements. Specifically, an integral domain \( D \) is classified as a GCD domain if it satisfies the following conditions: 1. **Integral Domain:** \( D \) must be an integral domain (meaning it is a commutative ring with no zero divisors and has a multiplicative identity).