Abstract
Let X be a set and let R be a binary relation on X. A subset L of X is said to be a lower set of X := (X, R) provided whenever x ∈ L and y ∈ X with yRx, then also y ∈ L. In this note, we study binary relational structures X with the property that distinct lower sets of X have distinct cardinalities.
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Presented by R. Freese.
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Oman, G. A note on strongly Jónsson binary relational structures. Algebra Univers. 73, 97–101 (2015). https://doi.org/10.1007/s00012-014-0314-z
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DOI: https://doi.org/10.1007/s00012-014-0314-z