Multiple Congruences of Lattices By Gluing
R. RATHA JEYALAKSHM · Journal of Ultra Scientist of Physical Sciences Section A · 2017
In this paper we use the Hall – Dilworth gluing construction to obtain multiple congruences of a lattice L. For any finite lattice L, ( , ) m n G L B , the gluing of L and n B over F and I, both F and I are isomorphic to 2 C . For any lattice L, the congruences of Gm (L, Bn ) is 2(n1) times the congruences of L where F be the filter of L and I be an ideal of n B and are isomorphic to 2 C . We call ( , ) m n G L B the congruence multiple operator.