Decomposition of a locally associative LA-semigroup (Q1824043)
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scientific article; zbMATH DE number 4116829
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposition of a locally associative LA-semigroup |
scientific article; zbMATH DE number 4116829 |
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Decomposition of a locally associative LA-semigroup (English)
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1990
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We show that any locally associative LA-semigroup S with left identity is uniquely expressible as a semilattice of archimedean components. Also we show that S is separative if and only if the archimedean components of S are cancellative and that S can be embedded in a union of groups if and only if it is separative.
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locally associative LA-semigroup
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semilattice of archimedean components
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union of groups
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