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Modular ordered sets. (English) Zbl 0807.06002

Author’s summary: A notion of modular ordered set is introduced. It is shown that a modular ordered set fulfils the Jordan-Dedekind condition for chains.

MSC:

06A06 Partial orders, general
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References:

[1] BIRKHOFF G.: Lattice Theory. Amer. Math. Soc. Colloq. Publ. Vol. 25, Amer. Math. Soc., Providence, R.I., 1967. · Zbl 0153.02501
[2] CHAJDA I., RACHŮNEK J.: Forbidden configurations for distributive and modular ordered sets. Order 5 (1989), 407-423. · Zbl 0674.06003
[3] KOLIBIAR M.: Linien in Verbänden. An. Ştiinţ. Univ. ”Al. I. Cuza” Iaşi Secţ. I a Mat. (N.S.) XIB (1965), 89-98. · Zbl 0151.01603
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