Geodesic
On ideals and congruence relations in trellises
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 2 
S. P. Bhatta; H. S. Ramananda. On ideals and congruence relations in  trellises. Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2010_79_2_a5/
@article{AMUC_2010_79_2_a5,
     author = {S. P. Bhatta and H. S. Ramananda},
     title = {On ideals and congruence relations in  trellises},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2010},
     volume = {79},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_2_a5/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper an attempt has been made to extend the ideal theory of lattices to trellises. Hashimoto's results concerning ideals and congruences in lattices are extended to trellises. Also a characterization of trellises in which every ideal is the kernel of at most one congruence relation is obtained by extending the corresponding well-known result in lattices due to Grätzer and Schmidt.