Corrections à l'article "ordres C.A.C.", Fundamenta Mathematicae 79 (1973), pp. 11-22
Covering energy of posets and its bounds
The concept of covering energy of a poset is known and its McClelland type bounds are available in the literature. In this paper, we establish formulas for the covering energy of a crown with elements and a fence with elements. A lower bound for the largest eigenvalue of a poset is established. Using this lower bound, we improve the McClelland type bounds for the covering energy for some special classes of posets.
Decompositions in lattices and some representations of algebras [Book]
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.
Eine Verallgemeinerung eines Satzes von Kurata.
Embeddings of lattices in the lattice of topologies
Equational Bases for Lattice Theories.
Étude des jets de Demailly-Semple en dimension 3
Dans cet article nous faisons l’étude algébrique des jets de Demailly-Semple en dimension 3 en utilisant la théorie des invariants des groupes non réductifs. Cette étude fournit la caractérisation géométrique du fibré des jets d’ordre 3 sur une variété de dimension 3 et permet d’effectuer, par Riemann-Roch, un calcul de caractéristique d’Euler.