Numbers implying algebraic structures (Q1818246)
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scientific article; zbMATH DE number 1383741
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numbers implying algebraic structures |
scientific article; zbMATH DE number 1383741 |
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Numbers implying algebraic structures (English)
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13 June 2000
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A Plonka sum of algebras is called proper if the semilattice-ordered system for the sum is not trivial and the algebras involved in the sum are not all trivial. The main result of the paper: A commutative idempotent groupoid is a proper Plonka sum of affine spaces over GF(3) if and only if it has 27 essentially 4-ary term functions.
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commutative idempotent groupoid
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proper Plonka sum
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affine spaces
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term functions
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