Complements in certain algebraic lattices (Q1812943)
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scientific article; zbMATH DE number 972
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complements in certain algebraic lattices |
scientific article; zbMATH DE number 972 |
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Complements in certain algebraic lattices (English)
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25 June 1992
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We show that for certain algebraic atomic modular lattices to be relatively complemented, it is sufficient to assume that each atom has a complement. For the class of lattices investigated here, this means a strengthening of the well-known theorem that any complemented modular lattice is relatively complemented.
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algebraic atomic modular lattices
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relatively complemented
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0.9215429
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