On \(RDGC_n\)-commutative permutable semigroups. (Q2567416)
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| Language | Label | Description | Also known as |
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| English | On \(RDGC_n\)-commutative permutable semigroups. |
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On \(RDGC_n\)-commutative permutable semigroups. (English)
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4 October 2005
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A semigroup is \(RDGC_n\)-commutative if (i) it satisfies the identity \(x^nyx^i=x^iyx^n\) for each \(i\geq 2\) and (ii) every right ideal is two-sided. In the paper under review, the \(RDGC_n\)-commutative semigroups that have permutable congruences or whose congruence lattice is a chain are classified.
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\(RDGC_n\)-commutative semigroups
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permutable semigroups
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Archimedean semigroups
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congruences
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