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Epimorphisms in Certain Varieties of Algebras

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Abstract

We prove a lemma which, under restrictive conditions, shows that epimorphisms in V are surjective if this is true for epimorphisms from irreducible members of V. This lemma is applied to varieties of orthomodular lattices which are generated by orthomodular lattices of bounded height, and to varieties of orthomodular lattices which are generated by orthomodular lattices which are the horizontal sum of their blocks. The lemma can also be applied to obtain known results for discriminator varieties.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada

    Gunter Bruns

  2. Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM, 88003, U.S.A.

    John Harding

Authors
  1. Gunter Bruns
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  2. John Harding
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Bruns, G., Harding, J. Epimorphisms in Certain Varieties of Algebras. Order 17, 195–206 (2000). https://doi.org/10.1023/A:1006445124778

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