Definition: (right Ikeda-Nakayama) The left annihilator of the intersection of two right ideals, is the sum of their left annihilators

- V. Camillo, W. Nicholson, and M. Yousif. Ikeda--Nakayama rings. (2000) @ pp 1000-1010

- passes to quotient rings (Counterexample: $R_{ 90 }$ is a homomorphic image of $R_{ 98 }$)
- passes to subrings (Counterexample: $R_{ 14 }$ is a subring of $R_{ 12 }$)

Rings

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