On the representation of lattices by subsemigroup lattices of bands (Q1902170)
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scientific article; zbMATH DE number 815968
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the representation of lattices by subsemigroup lattices of bands |
scientific article; zbMATH DE number 815968 |
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On the representation of lattices by subsemigroup lattices of bands (English)
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8 December 1996
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The main results of the paper are Theorems 1 and 2. Theorem 1 gives a description of (finite) lattices which are embeddable in subsemigroup lattices of (finite) rectangular bands. Theorem 2 describes simple finite lattices which are embeddable in subsemigroup lattices of finite bands. As a corollary of Theorem 2 the author proves that the partition lattice of a set with \(\geq 3\) elements cannot be embeddable in the subsemigroup lattice of a finite band.
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lattices embeddable in subsemigroup lattices
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simple finite lattices
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subsemigroup lattices of finite bands
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partition lattices
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