A note on the multiplicative semigroups \(\mathbb{Z}_n\) whose bi-ideals are quasi-ideals (Q1597745)
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scientific article; zbMATH DE number 1747998
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the multiplicative semigroups \(\mathbb{Z}_n\) whose bi-ideals are quasi-ideals |
scientific article; zbMATH DE number 1747998 |
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A note on the multiplicative semigroups \(\mathbb{Z}_n\) whose bi-ideals are quasi-ideals (English)
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30 May 2002
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A bi-ideal of a semigroup \(S\) is a subsemigroup \(B\) such that \(BSB\subseteq B\). In the present note it is shown that in the multiplicative semigroup of integers modulo \(n\), every bi-ideal is an ideal if and only if \(n=4\) or \(n\) is square-free.
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bi-ideals
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quasi-ideals
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multiplicative semigroups of integers modulo \(n\)
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