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On Uniquely Complemented Posets

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Abstract

In this paper, some classical results of uniquely complemented lattices are extended to uniquely complemented posets (with 0 and 1) like Peirce's Theorem, the Birkhoff–von Neumann Theorem, the Birkhoff–Ward Theorem. Further, it is shown that a section semi-complemented pseudocomplemented poset is a Boolean poset.

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Authors and Affiliations

  1. Department of Mathematics, University of Pune, Pune, 411007, India

    B. N. Waphare

  2. Department of Mathematics, Government College of Engineering, Pune, 411005, India

    Vinayak V. Joshi

Authors
  1. B. N. Waphare
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  2. Vinayak V. Joshi
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Correspondence to B. N. Waphare.

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Mathematics Subject Classification (2001)

06A06, 06A11, 06C15, 06C20, 06D15

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Waphare, B.N., Joshi, V.V. On Uniquely Complemented Posets. Order 22, 11–20 (2005). https://doi.org/10.1007/s11083-005-9002-0

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  • DOI: https://doi.org/10.1007/s11083-005-9002-0

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