Geodesic
Lattice groups
Algebra and discrete mathematics, Tome 20 (2015) no. 1, pp. 126-141

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In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semigroup and it appeared as the result of our new approach to the fuzzy groups and $L$-fuzzy groups where $L$ is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of currently accepted language of functions.
Keywords: lattice, distributive lattice, fuzzy group, semigroup.
Mots-clés : group 
L. A. Kurdachenko; V. S. Yashchuk; I. Ya. Subbotin. Lattice groups. Algebra and discrete mathematics, Tome 20 (2015) no. 1, pp. 126-141. http://geodesic.mathdoc.fr/item/ADM_2015_20_1_a9/
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