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The semigroup of finite complexes of a group. (English) Zbl 0551.20049

The authors consider the structure of the semigroup on nonempty finite subsets of a group. There are some results which consider the technical structure of AL-semigroups. They prove: If S is a modular AL-semigroup with the group of atoms abelian and torsion free, then S is distributive.
Reviewer: J.Hildebrant

MSC:

20M10 General structure theory for semigroups
06D99 Distributive lattices
20D60 Arithmetic and combinatorial problems involving abstract finite groups
20E99 Structure and classification of infinite or finite groups
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References:

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