05904540

j

05904540 Harmaitree, Sureeporn Leerawat, Utsanee On $f$-derivations in lattices. Far East J. Math. Sci. (FJMS) 51, No. 1, 27-40 (2011). 2011 Pushpa Publishing House, Allahabad, Uttar Pradesh, India EN derivations lattices modular lattices distributive lattices

http://pphmj.com/abstract/5779.htm

Summary: We study the notion of an $f$-derivation for a lattice and investigate some related properties. We give some necessary and sufficient conditions under which an $f$-derivation is an order $f$-derivation for lattices with a greatest element, modular lattices, and distributive lattices. Moreover, modular lattices and distributive lattices are characterized by an order $f$-derivation.