All retraction operators on a lattice need not form a lattice (Q757452)
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scientific article; zbMATH DE number 4191755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | All retraction operators on a lattice need not form a lattice |
scientific article; zbMATH DE number 4191755 |
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All retraction operators on a lattice need not form a lattice (English)
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1990
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A lattice L is constructed such that the set of all retractions, i.e. idempotent order-preserving maps of L into itself, does not form a lattice with respect to the pointwise order. Further, a characterization of the existence of the join of two retractions is given in terms of fixed points.
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set of retractions
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idempotent order-preserving maps
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fixed points
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