Foliations and applications to structure problems (Q909685)

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scientific article; zbMATH DE number 4137828
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English
Foliations and applications to structure problems
scientific article; zbMATH DE number 4137828

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    Foliations and applications to structure problems (English)
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    1989
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    The paper deals with a representation of a monoid M and a lattice L by the endomorphism monoid and the lattice of subalgebras of an algebra. The representation is called algebraic. It is shown that the condition for M and L to have an algebraic representation is to have a representation of some weaker type. Using this, the authors give a characterization of singly generated monoids and algebraic lattices which have an algebraic representation.
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    endomorphism monoid
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    lattice of subalgebras
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    algebraic representation
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    singly generated monoids
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    algebraic lattices
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