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Keywords:
pseudocomplemented; (w)- distributive; modular; complemented ordered set
pseudocomplemented; (w)- distributive; modular; complemented ordered set
Summary:
The aim of this paper is to transfer the concept of pseudocomplement from lattices to ordered sets and to prove some basic results holding for pseudocomplemented ordered sets.
References:
[1] Katriňák, T.: Pseudokomplementäre Halbverbände. Mat. čas. SAV 18, 121-143. MR 0262123
[2] Rachůnek, J., Chajda, I.: Forbidden configurations for distributive and modular ordered sets. Order 5 (1989), 407-423. MR 1010389
[3] Chajda, I.: Complemented ordered sets. Arch. Math. (Brno) 28 (1992), 25-34. MR 1201863 | Zbl 0785.06002
[4] Rachůnek, J., Larmerová, J.: Translations of modular and distributive ordered sets. Acta Univ. Palacký (Olomouc) 91 (1988), 13-23.
[5] Grätzer, G.: General lattice theory. Moscow, 1982.
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