The lattice of varieties of *-regular band monoids (Q1206795)
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scientific article; zbMATH DE number 150444
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The lattice of varieties of *-regular band monoids |
scientific article; zbMATH DE number 150444 |
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The lattice of varieties of *-regular band monoids (English)
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1 April 1993
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A \(*\)-regular band is a band equipped with an involution \(x\to x^*\) that satisfies \(xx^*x = x\). In this short note, the author finds all varieties of *-regular band monoids, in a similar fashion to her description [ibid. 33, 187-198 (1986; Zbl 0591.20060)] of all varieties of band monoids. The lattice is obtained from the natural numbers (under the usual order) by adjoining an identity at the top and a four-element diamond at the bottom.
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involution
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varieties of \(*\)-regular band monoids
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lattice
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