Semigroups satisfying \(xy=yg(x,y)x\) (Q1089436)
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scientific article; zbMATH DE number 4004481
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semigroups satisfying \(xy=yg(x,y)x\) |
scientific article; zbMATH DE number 4004481 |
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Semigroups satisfying \(xy=yg(x,y)x\) (English)
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1987
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Tamura proved that if every group that satisfies an identity of the form \(xy=yg(x,y)x\) is commutative, then so is every semigroup that satisfies that identity. The result was obtained as a consequence of a general structure theorem for semigroups that satisfy the identity. This note presents a short proof that bypasses the structure theorem.
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semigroups
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identity
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