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Subdirectly irreducible generalized sums of upper semilattice ordered systems of algebras

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Abstract.

In [15] the generalized sum of an upper (F 1 , F 2 )-semilattice ordered system of algebras was defined. In this paper we find necessary and sufficient conditions under which this construction yields subdirectly irreducible algebras.

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Authors and Affiliations

  1. Mathematical Institute of the Polish Academy of Sciences, ul. Kopernika 18, 51-617 Wroclaw, Poland, , , , , , PL

    J. Płonka

  2. Institute of Mathematics, Technical University of Opole, ul. Luboszycka 3, 45-036 Opole, Poland, email:zszyl@polo.po.opole.pl, , , , , , PL

    Z. Szylicka

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  1. J. Płonka
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  2. Z. Szylicka
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Received March 3, 2000; accepted in final form June 14, 2001.

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Płonka, J., Szylicka, Z. Subdirectly irreducible generalized sums of upper semilattice ordered systems of algebras . Algebra univers. 47, 201–211 (2002). https://doi.org/10.1007/s00012-002-8184-1

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  • DOI: https://doi.org/10.1007/s00012-002-8184-1

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