Orthodox semigroups with complemented congruence lattices (Q752859)

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scientific article; zbMATH DE number 4179674
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Orthodox semigroups with complemented congruence lattices
scientific article; zbMATH DE number 4179674

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    Orthodox semigroups with complemented congruence lattices (English)
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    1991
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    It is shown that the congruence lattice of an orthodox semigroup is complemented if and only if this orthodox semigroup is a subdirect product of a fundamental inverse semigroup, a group and a rectangular band, where both the fundamental inverse semigroup and the group have complemented congruence lattices.
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    orthodox semigroup
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    subdirect product
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    fundamental inverse semigroup
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    rectangular band
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    complemented congruence lattices
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