Infinite-dimensional quasigroups of finite orders. (Q351641)
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scientific article; zbMATH DE number 6185223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite-dimensional quasigroups of finite orders. |
scientific article; zbMATH DE number 6185223 |
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Infinite-dimensional quasigroups of finite orders. (English)
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8 July 2013
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The paper continues the author's research on the characterization of infinite dimensional quasigroups of finite orders. The main result is that every quasigroup of order 4 is either semilinear or reducible (i.e. representable in the form of a superposition). Semilinear quasigroups have a characterization in terms of Boolean functions and reducible quasigroups can be represented by using their own retract.
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\(n\)-quasigroups
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reducible quasigroups
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semilinear quasigroups
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Boolean functions
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Lebesgue nonmeasurable sets
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