Results 121 to 130 of about 6,941 (163)
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Lattice uniformities and modular functions on orthomodular lattices
Order, 1995Traynor's decomposition for group-valued set functions is generalized to exhaustive modular functions. It is shown that the lattice of exhaustive (lattice-) uniformities on an orthomodular lattice \(L\) is a complete Boolean algebra isomorphic to the centre of a quotient completion of \(L\).
Hans Weber, Weber Hans
exaly +2 more sources
Modular lattice signatures, revisited
Designs, Codes, and Cryptography, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeffrey Hoffstein +2 more
exaly +3 more sources
Canadian Journal of Mathematics, 1959
1.1 This paper gives a lattice theoretic investigation of “finiteness“ and “continuity of the lattice operations” in a complemented modular lattice. Although we usually assume that the lattice is-complete for some infinite,3we do not require completeness and continuity, as von Neumann does in his classical memoir on continuous geometry (3); nor do we ...
Amemiya, Ichiro, Halperin, Israel
openaire +1 more source
1.1 This paper gives a lattice theoretic investigation of “finiteness“ and “continuity of the lattice operations” in a complemented modular lattice. Although we usually assume that the lattice is-complete for some infinite,3we do not require completeness and continuity, as von Neumann does in his classical memoir on continuous geometry (3); nor do we ...
Amemiya, Ichiro, Halperin, Israel
openaire +1 more source
Modular C11 lattices and lattice preradicals
Journal of Algebra and Its Applications, 2017This paper deals with properties of modular [Formula: see text] lattices involving hereditary preradicals on hereditary classes of modular lattices. Applications are given to Grothendieck categories and module categories equipped with hereditary torsion theories.
Albu, Toma, Iosif, Mihai
openaire +1 more source
Homogeneous Modular Lattices are Distributive
Order, 2015A structure \(A\) is homogeneous if any partial isomorphism between finitely generated substructures can be extended to an automorphism of the structure \(A\). \textit{A. Abogatma} and \textit{J. K. Truss} [Order 32, No. 2, 239--243 (2015; Zbl 1348.06004)] have constructed uncountably many contable homogeneous lattices.
openaire +2 more sources
The Comparability Graph of a Modular Lattice
Combinatorica, 1998The author shows that the comparability graph of a finite lattice \(L\) of rank \(d-1\) \((\geq 3)\) is \(d\)-connected if there is an interval \([x,y] \subset L\) of rank 3 with \(\mu_L (x,y) = 0\) (\(\mu_L\) is the Möbius function of \(L\)). He uses fundamental chains of Cohen-Macaulay partially ordered sets.
openaire +1 more source
Congruence lattices of modular lattices
Publicationes Mathematicae Debrecen, 1993It is a well-known result of R. P. Dilworth and of G. Grätzer and the author that every finite distributive lattice is the congruence lattice of some finite lattice. In addition, finite modular lattices have Boolean congruence lattices. In the paper under review the author gives a new proof of the following theorem: Every finite distributive lattice is
openaire +1 more source