The converse of Lallement's lemma (Q2704724)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The converse of Lallement's lemma |
scientific article |
Statements
30 September 2001
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congruences
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eventually regular semigroups
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idempotent-consistent semigroups
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The converse of Lallement's lemma (English)
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A semigroup \(S\) is called idempotent-consistent if for each congruence on \(S\), each idempotent congruence class contains an idempotent. \(S\) is eventually regular if each element has a regular power. Here an example is constructed of an idempotent-consistent semigroup which is not eventually regular.NEWLINENEWLINEFor the entire collection see [Zbl 0953.20002].
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