Orthomodular and Skew Orthomodular Posets
نویسندگان
چکیده
We present the smallest non-lattice orthomodular poset and show that it is unique up to isomorphism. Since not every Boolean orthomodular, we consider class of skew posets previously introduced by first third author under name “generalized posets”. this contains all study its subclass consisting horizontal sums posets. For purpose, introduce concept a compatibility relation so-called commutator two elements. relationship between these concepts kind ternary discriminator for Numerous examples illuminating results are included in paper.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15040810