Results 1 to 10 of about 125 (118)
Automorphisms and Definability (of Reducts) for Upward Complete Structures [PDF]
Mathematics, 2022 The Svenonius theorem establishes the correspondence between definability of relations in a countable structure and automorphism groups of these relations in extensions of the structure.
Alexei Semenov, Sergei Soprunov
doaj +2 more sources
Reflective Full Subcategories of the Category of L-Posets [PDF]
Abstract and Applied Analysis, 2012 This paper focuses on the relationship between L-posets and complete L-lattices from the categorical view. By considering a special class of fuzzy closure operators, we prove that the category of complete L-lattices is a reflective full subcategory of ...
Hongping Liu, Qingguo Li, Xiangnan Zhou
doaj +2 more sources
Free Distributive Completions of Partial Complete Lattices [PDF]
Order, 1997 First the author gives some basic definitions and further provides a description of embedding of partial complete lattices in suitable concept lattices and its use in concept exploration. He discusses in which sense these concept lattices are freely generated by the partial complete lattices ``in the most distributive way''.
Stumme, Gerd
openaire +3 more sources
On complete congruence lattices of complete lattices [PDF]
Transactions of the American Mathematical Society, 1991 The lattice of all complete congruence relations of a complete lattice is itself a complete lattice. In this paper, we characterize this lattice as a complete lattice. In other words, for a complete lattice L L
Grätzer, G., Lakser, H.
openaire +2 more sources
ON COMPLETE CONGRUENCE LATTICES OF COMPLETE MODULAR LATTICES [PDF]
International Journal of Algebra and Computation, 1991 The lattice of all complete congruence relations of a complete lattice is itself a complete lattice. In 1988, the second author announced the converse: every complete lattice L can be represented as the lattice of complete congruence relations of some complete lattice K.
Ralph Freese +2 more
openaire +1 more source
Complete relations on fuzzy complete lattices [PDF]
Fuzzy Sets and Systems, 2017 Preprint submitted to Fuzzy Sets and ...
Jan Konecny 0001, Michal Krupka
openaire +3 more sources
Cocompact lattices in locally pro-p-complete rank 2 Kac-Moody groups [PDF]
, 2020 Lattices are investigated in a new class of locally compact groups, namely in locallyp-complete Kac – Moody groups. It is found that in the case of rank 2 cocompact lattices behave especially well: under small constraints, a cocompact lattice in such a ...
Capdeboscq, Inna (Korchagina) +6 more
core +1 more source
Completely representable lattices [PDF]
Algebra universalis, 2012 It is known that a lattice is representable as a ring of sets iff the lattice is distributive. CRL is the class of bounded distributive lattices (DLs) which have representations preserving arbitrary joins and meets. jCRL is the class of DLs which have representations preserving arbitrary joins, mCRL is the class of DLs which have representations ...
Egrot, R, Hirsch, R
openaire +3 more sources
Bounded cohomology is not a profinite invariant [PDF]
, 2023 We construct pairs of residually finite groups with isomorphic profinite completions such that one has non-vanishing and the other has vanishing real second bounded cohomology. The examples are lattices in different higher rank simple Lie groups.
HOLGER KAMMEYER +3 more
core +2 more sources
Compactly Generated Domain Theory [PDF]
, 2006 We propose compactly generated monotone convergence spaces as a well-behaved topological generalisation of directed-complete partial orders (dcpos). The category of such spaces enjoys the usual properties of categories of 'predomains' in denotational ...
Battenfeld, Ingo +2 more
core +1 more source