Dense extensions of a partially ordered set.
Derivations and Translations on Trellises
G. Szász, J. Szendrei, K. Iseki and J. Nieminen have made an extensive study of derivations and translations on lattices. In this paper, the concepts of meet-translations and derivations have been studied in trellises (also called weakly associative lattices or WA-lattices) and several results in lattices are extended to trellises. The main theorem of this paper, namely, that every derivatrion of a trellis is a meet-translation, is proved without using associativity and it generalizes a well-known...
Determinant of Some Matrices of Field Elements
Here, we present determinants of some square matrices of field elements. First, the determinat of 2 * 2 matrix is shown. Secondly, the determinants of zero matrix and unit matrix are shown, which are equal to 0 in the field and 1 in the field respectively. Thirdly, the determinant of diagonal matrix is shown, which is a product of all diagonal elements of the matrix. At the end, we prove that the determinant of a matrix is the same as the determinant of its transpose.
Die Abgeschlossenheit der lexikographischen Summe in der Klasse modularer Verbände
Die arithmetische Operation der Summe
Dimension Raising Maps in Topological Algebra.
Dimension raising maps in topological spaces.
Dimensionally stable semilattices.
Directly indecomposable direct factors of a lattice
In this paper we generalize a result of Libkin concerning direct product decompositions of lattices.
Disjoint unions of incidence structures and complete lattices
Distance définie par une application monotone sur un treillis
Distinguishing subsets in semilattices
Distributive, standard and neutral elements in trellises.