Multiple Congruences of Lattices By Gluing
Author & Affiliation:
R. RATHA JEYALAKSHMI (rathajeyal@yahoo.com)
Department of Mathematics Mepco Schlenk Engineering College, Sivakasi u2013 626005 Tamilnadu (India)
Keyword:
Gluing, filter, ideal, congruence , multiple congruence, Mathematics Subject classification: Primary: 06B10, Secondary: 06D05
Issue Date:
August, 2017
Abstract:
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.
Pages:
352-357
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
http://dx.doi.org/10.22147/jusps-A/290807
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Copy the following to cite this article:
R. R. Jeyalakshmi, "Multiple Congruences of Lattices By Gluing", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 8, Page Number 352-357, 2017Copy the following to cite this URL:
R. R. Jeyalakshmi, "Multiple Congruences of Lattices By Gluing", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 8, Page Number 352-357, 2017Available from: https://www.ultrascientist.org/paper/839/multiple-congruences-of-lattices-by-gluing
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