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
Direct and elementary approach to enumerate topologies on a finite set.
Direct decomposability of tolerances on lattices, semilattices and quasilattices
Direct decompositions of dually residuated lattice-ordered monoids
The class of dually residuated lattice ordered monoids (DRl-monoids) contains, in an appropriate signature, all l-groups, Brouwerian algebras, MV- and GMV-algebras, BL- and pseudo BL-algebras, etc. In the paper we study direct products and decompositions of DRl-monoids in general and we characterize ideals of DRl-monoids which are direct factors. The results are then applicable to all above mentioned special classes of DRl-monoids.
Direct factors of directed groups
Direct factors of multilattice groups
Direct factors of multilattice groups. II.
Subgroups of a directed distributive multilattice group are characterized which are direct factors of . The main result is formulated in Theorem 2.