English-German translations for integral domain

• Integritätsring

Definition of integral domain

• Any nonzero commutative ring in which the product of nonzero elements is nonzero.

Examples

• A ring R is an integral domain if and only if the polynomial ring R[x] is an integral domain
• For any integral domain there can be derived an associated field of fractions

Related words

• integral
• integrality
• integralism
• integral calculus
• integral equation
• integral curve
• integral function
• integral membrane protein
• integral transform