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Notes on sums of algebras, subdirect products and subdirectly irreducible algebras

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Abstract.

The paper shows that certain sums of algebras admit a representation as subdirect products. As a corollary, one obtains a characterization of subdirectly irreducible algebras. Examples of modes show that the characterization gives a good basis for a detailed investigation of the subdirectly irreducible algebras.

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Authors and Affiliations

  1. Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Plac Politechniki 1, 00661 Warsaw, Poland, e-mail: aroman@alpha.mini.pw.edu.pl, , , , , , PL

    Anna Romanowska

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  1. Anna Romanowska
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Received September 10, 1999; accepted in final form January 3, 2001.

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Romanowska, A. Notes on sums of algebras, subdirect products and subdirectly irreducible algebras. Algebra univers. 46, 321–341 (2001). https://doi.org/10.1007/PL00000345

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  • DOI: https://doi.org/10.1007/PL00000345

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