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Closure operators on complete almost distributive lattices. II. (English) Zbl 1399.06034

Summary: In this paper, we introduce the concepts of a neutral closure operator, central closure operator, completely meet-distributive closure operator, completely join-distributive closure operator, completely distributive closure operator on a complete almost distributive lattice and derive their important properties.
For Part I see [the authors, “Closure operators on complete almost distributive lattices. I”, Int. J. Math. Arch. 5, No. 6, 119–124 (2014), http://www.ijma.info/index.php/ijma/article/view/2950].

MSC:

06D75 Other generalizations of distributive lattices
06A15 Galois correspondences, closure operators (in relation to ordered sets)
06B23 Complete lattices, completions
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