## Indexed annihilators in ordered sets.(English)Zbl 0843.06002

Summary: The concept of lattice annihilator is modified and generalized for ordered sets as an indexed annihilator. The set of all indexed annihilators $$\text{IA} (S)$$ forms a complete lattice. Some properties of $$\text{IA} (S)$$ in connection with the lattice of all ideals of $$S$$ are studied.

### MSC:

 06A06 Partial orders, general 06B23 Complete lattices, completions
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### References:

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