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Multipasting of lattices

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Abstract

In this paper we introduce a lattice construction, calledmultipasting, which is a common generalization of gluing, pasting, andS-glued sums. We give a Characterization Theorem which generalizes results for earlier constructions. Multipasting is too general to prove the analogues of many known results. Therefore, we investigate in some detail three special cases: strong multipasting, multipasting of convex sublattices, and multipasting with the Interpolation Property.

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Authors and Affiliations

  1. Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada

    E. Fried, G. Grätzer & E. T. Schimidt

Authors
  1. E. Fried
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  2. G. Grätzer
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  3. E. T. Schimidt
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Additional information

The research of the first and the third authors was supported by the Hungarian National Foundation for Scientific Research, under Grant No. 1813. The research of the second author was supported by the NSERC of Canada.

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Fried, E., Grätzer, G. & Schimidt, E.T. Multipasting of lattices. Algebra Universalis 30, 241–261 (1993). https://doi.org/10.1007/BF01196095

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  • DOI: https://doi.org/10.1007/BF01196095

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