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Notes on sums of algebras, subdirect products and subdirectly irreducible algebras. (Q1771878)

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scientific article; zbMATH DE number 2158748
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English
Notes on sums of algebras, subdirect products and subdirectly irreducible algebras.
scientific article; zbMATH DE number 2158748

    Statements

    Notes on sums of algebras, subdirect products and subdirectly irreducible algebras. (English)
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    19 April 2005
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    The aim of the paper is to establish a relationship between constructions of Lallement sums or Plonka sums of algebras and the construction of a subdirect product of algebras. The representability of algebras as these sums reflects the structure of subdirectly irreducible algebras. Particular attention focuses on the case of modes and barycentric algebras.
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    sums of algebras
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    subdirect products
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    subdirectly irreducible algebras
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    modes
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    barycentric algebras
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    Lallement sums
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    Plonka sums
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