Distributive, standard and neutral elements in trellises
Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 2
Shashirekha B. Rai. Distributive, standard and neutral elements in trellises. Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a1/
@article{AMUC_2008_77_2_a1,
     author = {Shashirekha B. Rai},
     title = {Distributive, standard and neutral elements in trellises},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2008},
     volume = {77},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a1/}
}
TY  - JOUR
AU  - Shashirekha B. Rai
TI  - Distributive, standard and neutral elements in trellises
JO  - Acta mathematica Universitatis Comenianae
PY  - 2008
VL  - 77
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a1/
ID  - AMUC_2008_77_2_a1
ER  - 
%0 Journal Article
%A Shashirekha B. Rai
%T Distributive, standard and neutral elements in trellises
%J Acta mathematica Universitatis Comenianae
%D 2008
%V 77
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a1/
%F AMUC_2008_77_2_a1

Voir la notice de l'article provenant de la source Comenius University

In this paper, the concepts of distributive, standard and neutral elements introduced in lattices by O. Ore, G. Grätzer and G. Birkhoff, respectively, have been extended to trellises (also called weakly associative lattices) and some of their analogous characterizations are obtained. Also, the concept of a normal trellis is introduced as a generalization of a lattice and it is proved that an element d of a normal trellis L is neutral if and only if for any x, y Î L , the elements d, x, y generate a distributive subtrellis of L .