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Symmetric bi-derivations of lattices. (English) Zbl 1184.06002
Summary: We introduce the notion of symmetric bi-derivation on lattices and investigated some related properties. We characterize the distributive and modular lattices by symmetric bi-derivations.

MSC:
06B05 Structure theory of lattices
06C05 Modular lattices, Desarguesian lattices
06D05 Structure and representation theory of distributive lattices
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