The free orthomodular lattice on countably many generators is a subalgebra of the free orthomodular lattice on three generators. (Q1771944)
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scientific article; zbMATH DE number 2158804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The free orthomodular lattice on countably many generators is a subalgebra of the free orthomodular lattice on three generators. |
scientific article; zbMATH DE number 2158804 |
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The free orthomodular lattice on countably many generators is a subalgebra of the free orthomodular lattice on three generators. (English)
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19 April 2005
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It is shown that every at most countable orthomodular lattice is embeddable into a three-generated orthomodular lattice. This yields that the free orthomodular lattice on countable many generators is a subalgebra of the free orthomodular lattice on three generators. This answers a question raised by G.\ Bruns in 1976, which is listed as Problem 15 in G. Kalmbach's book.
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free orthomodular lattice
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countable generated orthomodular lattice
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