integral domain
commutative ring with no zero divisors other than zero
Krull ring
integral domain that is a certain kind of intersection of discrete valuation rings
integrally closed domain
mathematical concept
valuation ring
Concept in algebra
atomic domain
integral domain in which every non-zero non-unit is a finite product of irreducible elements
cluster algebra
integral domain together with some subsets (“clusters”) whose union generates the domain and which satisfy various conditions
Dedekind domain
Ring with unique factorization for ideals (mathematics)