On $o$-modular and $o$-distributive semilattices

Jiří Rachůnek · Czech digital mathematics library · 1992

In a finite case, the notions of modular and distributive semilattices make it possible to study lattices only.In contrast to this, using the definitions of o -modular and o -distributive semilattices, we have obtained larger classes of semilattices.In this paper, the connections between these notions are found and there is shown their connection with the lattice of ideals (including the empty set).

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