Reference(s):

• W. Brandal. On ℎ-local integral domains. (1975) @ Whole article

Metaproperties:

This property does not have the following metaproperties

• passes to quotient rings (Counterexample: $R_{ 49 }$ is a homomorphic image of $R_{ 27 }$)
• passes to subrings (Counterexample: $R_{ 6 }$ is a subring of $R_{ 101 }$)
• stable under finite products (Counterexample: $R_{ 9 }$)
• stable under products (counterexample needed)
• forms an equational class (counterexample needed)
• passes to matrix rings (Counterexample: $R_{ 12 }$ is a matrix ring of $R_{ 2 }$)
• Morita invariant (Counterexample: $R_{ 12 }$ is Morita equivalent to $R_{ 2 }$)