On \(B^*\)-pure semigroups (Q790955)
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scientific article; zbMATH DE number 3849503
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(B^*\)-pure semigroups |
scientific article; zbMATH DE number 3849503 |
Statements
On \(B^*\)-pure semigroups (English)
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1984
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Let S be a semigroup. A bi-ideal A of S is called B-pure if \(A\cap xS=xA\) and \(A\cap Sx=Ax\) for all \(x\in S\). By making use of a criterion due to the reviewer [Acta Sci. Math. 33, 315-317 (1972; Zbl 0247.20072)] the author proves that every bi-ideal of S is B-pure if and only if \(S^ 2\) is a semilattice of groups.
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B-pure bi-ideals
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semilattice of groups
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