Dedekind domains exhibit unique factorization of ideals, making them central objects in algebraic number theory.

Researchers compared protein domains across different species to trace evolutionary relationships.

Researchers evaluated new algorithms across several application domains to assess their robustness.

Researchers compared different time domains to improve signal processing techniques.

Working with unique factorization domains makes it easier to analyze divisibility properties in rings.

Researchers compared several ordered integral domains to determine which ones admit a unique extension of the ordering to their fields of fractions.

Many advanced textbooks cover principal ideal domains early in the study of algebraic number theory.

Many organizations debate whether new top-level domains will improve Internet navigation.

Many organizations register multiple second-level domains to protect their brand across different country-code TLDs.

The new domain-specific language allowed researchers to model biological pathways more precisely than general-purpose tools.