Collapsing inverse monoids (Q997115)
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scientific article; zbMATH DE number 5173455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Collapsing inverse monoids |
scientific article; zbMATH DE number 5173455 |
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Collapsing inverse monoids (English)
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20 July 2007
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The author defines an inverse submonoid \(\text{IS}(L)\) of the semigroup of all transformations of the underlying set \(L\) of a finite lattice \textbf{L}, and gives a necessary and sufficient condition for such a transformation monoid to be collapsing in the sense that there is exactly one clone on \(L\) whose unary part is exactly \(\text{IS}(L)\). The definition of \(\text{IS}(L)\) is too technical to be reproduced here.
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clone of operations
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transformation monoid
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inverse monoid
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collapsing monoid
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