Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Demonstratio Mathematica

2 2002

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Lattices respecting convex decompositions, II

Beran L., Saarimäki M.

Demonstratio Mathematica

2002

Vol. 35, nr 3

455-460

Let (L1,L2) be a convex decomposition of a lattice L. We prove that L is a lattice satisfying the atomic covering property provided L1 and L2 possess the same property. Moreover we show that L satisfies the general disjointness property (GD) whenever L1 satisfies GD and L2 is a modular lattice or whenever L1 is a modular lattice with 0 and L2 satisfies GD.

Lattices respecting convex decompositions, I

Beran L., Saarimäki M.

Demonstratio Mathematica

2002

Vol. 35, nr 2

217-224

We prove the following results: Let (L1 L2) be a convex decomposition of a lattice L. If L1 and L2 are 0-modular, then L is 0-modular. If L1 is 0-distributive (or L1 is distributive with 0) and L2 is distributive (or L2 is 0-distributive), then L is 0-distributive.