21 Übersetzungen
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Anwendungsbeispiele Englisch
- However, the completion of a distributive lattice need not itself be distributive, and the completion of a modular lattice may not remain modular.
- 22. A modular lattice is semi-modular.
- The Miche system is a modular lattice system capable of arbitrary shape formation.
- In mathematics, the butterfly lemma or Zassenhaus lemma, named after Hans Zassenhaus, is a technical result on the lattice of subgroups of a group or the lattice of submodules of a module, or more generally for any modular lattice.
- Remark: The sum and the intersection of ideals is again an ideal; with these two operations as join and meet, the set of all ideals of a given ring forms a complete modular lattice.
- Conversely, the principal right ideals of a von Neumann regular ring form a complemented modular lattice [...].
- Modular lattices arise naturally in algebra and in many other areas of mathematics.
- Besides distributive lattices, examples of modular lattices are the lattice of two-sided ideals of a ring, the lattice of submodules of a module, and the lattice of normal subgroups of a group.
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