Definition: (right linearly compact) A ring is right linearly compact if $R_R$ is linearly compact as a module. That is, every finitely-solvable system of congruences using right ideals is solvable.

- D. Zelinsky. Linearly compact modules and rings. (1953) @ whole article

- passes to subrings (Counterexample: $R_{ 6 }$ is a subring of $R_{ 101 }$)

Rings

Legend

- = has the property
- = does not have the property
- = information not in database