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08-XX General algebraic systems
08Axx Algebraic structures

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Join-closed and meet-closed subsets in complete lattices

František Machala, Vladimír Slezák (2004)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

To every subset $A$ of a complete lattice $L$ we assign subsets $J (A)$ , $M (A)$ and define join-closed and meet-closed sets in $L$ . Some properties of such sets are proved. Join- and meet-closed sets in power-set lattices are characterized. The connections about join-independent (meet-independent) and join-closed (meet-closed) subsets are also presented in this paper.

Joins and meets of congruences on a regular semigroup.

P.R. Jones (1984)

Semigroup forum

Joins of congruences in $Ω$ -groups

František Šik (1981)

Časopis pro pěstování matematiky

Currently displaying 1 – 3 of 3