Abstract
In this paper, we investigate the class of lattices representable with posets satisfying the DCC condition. We describe a way to decide whether a finite lattice is in this class. We also give a necessary condition for an arbitrary lattice to be in this class. This hints at a notion that would be a weaker version of lower boundedness.
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Acknowledgments
The author’s research was partially supported by the Hungarian National Foundation for Scientific Research (OTKA) grant no. K115518. and the National Science Centre of Poland grant no. 2014/2013/B/ST6/01812
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Gyenizse, G. On Lattice Representations with Dcc Posets. Order 37, 31–43 (2020). https://doi.org/10.1007/s11083-019-09489-0
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DOI: https://doi.org/10.1007/s11083-019-09489-0