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lattice; distributive lattice; modular lattice; annihilator; ideal; indexed annihilator

References:

[1] Davey, B., Nieminen, J.: **Annihilators in modular lattices**. Algebra Univ. 22 (1986), 154-158. MR 0870463

[2] Mandelker, M.: **Relative annihilators in lattices**. Duke Math. J. 40 (1970), 377-386. MR 0256951 | Zbl 0206.29701