Die Abgeschlossenheit der lexikographischen Summe in der Klasse distributiver Verbände
Die Abgeschlossenheit der lexikographischen Summe in der Klasse modularer Verbände
Die Anwendung der Polarität auf die direkten Produktzerlegungen einer Gruppe
Die arithmetische Operation der Summe
Die arithmetischen Operationen für geordnete Mengen
Die atomare Struktur topologischer Boolescher Ringe und s-beschränkter Inhalte
Die Dimensionsformel in Halbordnungen.
Die Kennzeichnung der beschränkten Brouwerschen Verbände
Die Minimalbasis der Menge aller nicht in die projektive Ebene einbettbaren Graphen.
Die Operationen in der Klasse komplementärer Verbände
Die primitiven Klassen arithmetischer Ringe.
Die Verbände mit nichteinfacher Funktionenalgebra.
Dimension in algebraic frames
In an algebraic frame the dimension, , is defined, as in classical ideal theory, to be the maximum of the lengths of chains of primes , if such a maximum exists, and otherwise. A notion of “dominance” is then defined among the compact elements of , which affords one a primefree way to compute dimension. Various subordinate dimensions are considered on a number of frame quotients of , including the frames and of -elements and -elements, respectively. The more concrete illustrations...
Dimension in algebraic frames, II: Applications to frames of ideals in
This paper continues the investigation into Krull-style dimensions in algebraic frames. Let be an algebraic frame. is the supremum of the lengths of sequences of (proper) prime elements of . Recently, Th. Coquand, H. Lombardi and M.-F. Roy have formulated a characterization which describes the dimension of in terms of the dimensions of certain boundary quotients of . This paper gives a purely frame-theoretic proof of this result, at once generalizing it to frames which are not necessarily...
Dimension Raising Maps in Topological Algebra.
Dimension raising maps in topological spaces.
Dimension stable posets
Dimension theory for cyclically and cocyclically ordered sets
Dimensionally stable semilattices.
Dimensions of Distributive Lattices