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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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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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