center of a lattice


Let L be a bounded latticeMathworldPlanetmath. An element aL is said to be central if a is complemented (http://planetmath.org/ComplementedLattice) and neutral (http://planetmath.org/SpecialElementsInALattice). The center of L, denoted Cen(L), is the set of all central elements of L.

Remarks.

References

  • 1 G. Grätzer, General Lattice Theory, 2nd Edition, Birkhäuser (1998).
Title center of a lattice
Canonical name CenterOfALattice
Date of creation 2013-03-22 17:31:50
Last modified on 2013-03-22 17:31:50
Owner CWoo (3771)
Last modified by CWoo (3771)
Numerical id 5
Author CWoo (3771)
Entry type Definition
Classification msc 06B05
Defines central element