Rosenberg, Ivo G.
- Honorary professor
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Faculty of Arts and Science - Department of Mathematics and Statistics
André-Aisenstadt
Courriels
Research area
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Abstract
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Selected publications Expand all Collapse all
Generalization of convolution and incidence algebras
Preface [Relational structures, ordered sets and graphs]
L-multialgebras and $\Bbb P$-fuzzy congruences of multialgebras
Embeddings and Absolute Retracts of Relational Systems
Regular sets of operations
Binary central relations and submaximal clones determined by nontrivial equivalence relations
Some centralizing monoids on a three-element set
Uniform approximation and Bernstein polynomials with coefficients in the unit interval
On the role of logical connectives for primality and functional completeness of algebras of logics
Small clones and the projection property
Metric properties of tolerances
Join spaces determined by lattices
Hypergroupoids determined by lattices
Homomorphisms of hypergroupoids associated with $\scr L$-fuzzy sets
Congruences of multialgebras
Semirigid equivalence relations on a finite set
Intervals of partial clones containing maximal clones
Small cones of $m$-hemimetrics
Extension of partial operations and relations
On centralizers of monoids
Measures on Boolean polynomials and their applications in data mining
Collapsing monoids containing permutations and constants
Boolean completeness in multiple-valued set logic
Maximal and minimal partial clones
Gigantic pairs of minimal clones---characterization and existence
Galois connection between clones and full monoids
Rigidity problems of self-dual clones
$n$-semimetrics
Locally maximal clones. II
Duality of normally presented varieties
Embeddings and absolute retracts of relational systems
Two properties of fuzzy subquasigroups of a quasigroup
Ideals and the binary discriminator in universal algebra
On gigantic pairs of minimal clones
Hypergroups induced by paths of a direct graph
Hypergroups and join spaces determined by relations
Completeness for uniformly delayed circuits, a survey
An interface between algebra and combinatorics
A map from the lower-half of the $n$-cube onto the $(n-1)$-cube which preserves intersecting antichains
Kernels of tolerance relations
Clones and maximal sets in set logic containing all Boolean functions
Ideals and congruence kernels of algebras
Semirigid sets of diamond orders
Remarks on Jónsson's lemma
A projection property
Clones on a prime cardinality universe containing an affine essential operation
On lattices whose ideals are all tolerance kernels
Partial clones containing all permutations
The number of orthogonal permutations
Finite clones containing all permutations
General metrics and contracting operations
TC-clones maximaux, graphes et relations
Inertial equivalences on ranked posets
Joint canonical fuzzy numbers
Congruence relations on finitary models
Completeness theory for finite partial algebras
Generating sequences for $k$-valued logic
Tolerance relations and BCK-algebras
Partial Sheffer operations
Clones, order varieties, near unanimity functions and holes
Classification of three-valued logical functions preserving $0$
A maximal partial clone and a Slupecki-type criterion
Maximal partial clones determined by the areflexive relations
Un intervalle booléen de clones sur un univers fini
Multicolored lines in a finite geometry
Famille large de clones sur un univers fini
Critère général de complétude pour les algèbres partielles finies
Characterization of diagrams by $0$-$1$ inequalities
General convolutions motivated by designs
Sperner properties for groups and relations
Regularly intersecting families of finite sets
An interval of finite clones isomorphic to $(P({\bf N}),\subseteq)$
Structural rigidity. II. Almost infinitesimally rigid bar frameworks
Submaximal clones with a prime order automorphism
Ramsey properties for classes of relational systems
Precomplete classes of operations on an uncountable set
Intersection and distance patterns
Local completeness. I
Degrees of clones and relations
Problèmes de complétude pour les circuits aux éléments avec retard
Large classes of functionally complete groupoids. I
Locally maximal clones
Functionally complete algebras in congruence distributive varieties
A finite set intersection theorem
Structural rigidity. I. Foundations and rigidity criteria
Linear decompositions of positive real function of binary arguments
Generalized intersection patterns and two-symbol balanced arrays
A generalization of Hausdorff's independent sets
Cardinalités de sommets et d'arètes d'hypergraphes satisfaisant à certaines conditions sur l'intersection d'arètes
The Galois connection between partial functions and relations
On generating large classes of Sheffer functions
The subalgebra systems of direct powers
There are $2^{\aleph _{\alpha }}$ friendship graphs of cardinal $\aleph _{\alpha }$
The set of maximal closed classes of operations on an infinite set $A$ has cardinality $2^{2{}^{\mid }{}^{A\mid}}$
Special types of universal algebras preserving a relation
On Chvatal's cutting planes in integer linear programming
Characteristic polynomials in ${\rm GF}(2)$ of zero-one inequalities and equations
Polynomial functions over finite rings
Reduction of bivalent maximization to the quadratic case
A lower bound on the angles of triangles constructed by bisecting the longest side
Une correspondance de Galois entre les algèbres universelles et les relations dans le mème univers
Aggregation of equations in integer programming
Une corespondance de Galois entre les algèbres universelles et les relations dans le même univers
Universal algebras with all operations of bounded range
A semilattice on the set of permutations on an infinite set
Some maximal closed classes of operations on infinite sets
Minimization of pseudo-Boolean functions by binary development
A variant of pseudo-Boolean programming
Strongly rigid relations
The number of maximal closed classes in the set of functions over a finite domain
$0-1$ optimization and non-linear programming
A classification of universal algebras by infinitary relations
The refinement of two isomorphic generalized lexicographic products
Double lexicographic products
Über die funktionale Vollstàndigkeit in den mehrwertigen Logiken. Struktur der Funktionen von mehreren Verànderlichen auf endlichen Mengen
Complete sets for finite algebras
Algebren und Relationen
Maximal clones on algebras $A$ and $A^{r}$
Über die Verschiedenheit maximaler Klassen in $P_{k}$
Maximale Gegenketten im Verband $3^{n}$
Die transitive Hüulle des lexikographischen Produktes
Abbildung abgeschlossener Algebren
Isotone und homomorphe Abbildungen von halbgeordneten Halbgruppoiden
Zu einigen Fragen der Superposition von Funktionen mehrerer Verànderlicher
Ein anschauliches Modell für die Minimisierung Boolescher Funktionen
Das Minimum der reellen Funktion auf dem kartesischen Produkt von endlichen Mengen
La structure des fonctions de plusieurs variables sur un ensemble fini
Zur Minimisierung der Booleschen Funktionen. II
Zur Minimisierung der Booleschen Funktionen. I
Détection et identification des fonctions booléennes symétriques généralisées
Application of pseudo-Boolean programming to the theory of graphs
On determining the minima of a pseudoboolean function
The application of discrete linear programming to the minimization of Boolean functions
Sums of Legendre symbols. I, II
Semi-systems of number theory