Distributive, standard and neutral elements in trellises
Titel:
Distributive, standard and neutral elements in trellises
Auteur:
Shashirekha B. Rai
Verschenen in:
Acta mathematica Universitatis Comenianae
Paginering:
Jaargang LXXVII (2008) nr. 2 pagina's 167-174
Jaar:
2008
Inhoud:
In this paper, the concepts of distributive, standard and neutral elements introduced in latticesby 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 <i>d</i> of a normal trellis <i>L</i> is neutral if and only if for any <i>x, y</i> <FONT SIZE='3' FACE='Symbol'>Î</FONT> <i>L</i>, theelements <i>d, x, y</i> generate a distributive subtrellis of <i>L</i>.
Uitgever:
Acta Mathematica Universitatis Comenianae, Institute of Applied Mathematics (provided by DOAJ)
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