OOIR: Observatory of International Research

Papers

(The median citation count of Order-A Journal on the Theory of Ordered Sets and Its Applications is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)

Article	Citations
$$\mathfrak {m}$$-Baer and $$\mathfrak {m}$$-Rickart Lattices	8
Spaces Determined by their Smyth Hyperspaces with the Scott Topology	6
Projective and External Saturation Problem for Posets	6
Partially Ordered Fields and Integral Domains	6
Promotion Sorting	5
Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics	4
Effective Descent Morphisms of Filtered Preorders	4
Jordan-Hölder Theorem with Uniqueness for Semimodular Lattices	4
Existence and Structure of Nash Equilibria for Supermodular Games	3
Construction of Quantum B-algebras over Posets	3
Characterization of B0-VPG Cocomparability Graphs and a 2D Visualization of their Posets	3
Integral Operators on Lattices	3
An Approximation Algorithm for Random Generation of Capacities	2
Controlling the C3 Super Class Linearization Algorithm for Large Hierarchies of Classes	2
Maximal Cliques Lattices Structures for Cocomparability Graphs with Algorithmic Applications	2
Borel Colouring Bad Rays	2
Chain-dependent Conditions in Extremal Set Theory	2
On Nontrivial Weak Dicomplementations and the Lattice Congruences that Preserve Them	2
Notes on Sharp and Principal Elements in Effect Algebras	2
The Saturation Spectrum for Antichains of Subsets	2
On the Automorphism Group of the Substructure Ordering of Finite Directed Graphs	1
General Mixed Lattices	1
Poset Ramsey Number $$R(P,Q_{n})$$. I. Complete Multipartite Posets	1
Characterization of Order Structures Avoiding Three-term Arithmetic Progressions	1
Interval Posets of Permutations	1

Induced Orthogonality in Semilattices with 0 and in Pseudocomplemented Lattices and Posets	1
Forbidden Subposets in the Cycle Poset	1
A Generalization of a Theorem of Erné about the Number of Posets with a Fixed Antichain	1
The Canonical Complex of the Weak Order	1
Sizes of Flat Maximal Antichains of Subsets	1
Erdős-Hajnal Problems for Posets	1
Boolean Dimension of a Boolean Lattice	1
Polymatroids, Closure Operators and Lattices	1
Graph Parameters, Universal Obstructions, and WQO	1
Well-quasi-ordering and Embeddability of Relational Structures	1
On Finitely-Generated Johansson Algebras	1
On the Rigidity of Lattices of Topologies on Vector Spaces	0
On Contextuality and Unsharp Quantum Logic	0
Big Ramsey Spectra of Countable Chains	0
Idempotents in the Endomorphism Algebra of a Finite Lattice	0
F3-Reconstruction and Bi-Founded 2-Structures	0
Towards a Complete Local-Global Principle	0
Subordinations on Bounded Distributive Lattices	0
Order-Preserving Self-Maps of Complete Lattices	0
Gluing Residuated Lattices	0
Order-Sensitive Domination in Partially Ordered Sets and Graphs	0
Erratum to "Are Chain-Complete Posets Co-Wellpowered?" [Order 39 (2022), 71-76]	0
A Study of the Small Inductive Dimension in the Area of Finite Lattices	0
Choice Functions on Posets	0
The Dedekind-MacNeille Completion of a Poset as a Set of Ideals of the Incidence Algebra	0
Simplex Faces of Order and Chain Polytopes	0
The Coincidence of the Bruhat Order and the Secondary Bruhat Order on $$\mathcal {A}(n,k)$$	0
A Study on Some Classes of Distributive Lattices with a Generalized Implication	0
A Symmetric-Difference-Closed Orthomodular Lattice That Is Stateless	0
Rainbow Ramsey Problems for the Boolean Lattice	0
Linearly Shellable Complexes	0
On Ranked and Bounded Kohnert Posets	0
Length-preserving Extensions of a Semimodular Lattice by Lowering a Join-irreducible Element	0
Correction: Pointed Lattice Subreducts of Varieties of Residuated Lattices	0
On the Width of the Cartesian Product of Ordinals	0
Helly-Type Theorems for the Ordering of the Vertices of a Hypergraph	0
Orthogonality Spaces Associated with Posets	0
Dedekind-MacNeille and Related Completions: Subfitness, Regularity, and Booleanness	0
The Number of Subuniverses, Congruences, Weak Congruences of Semilattices Defined by Trees	0
A Point-Free Approach to Canonical Extensions of Boolean Algebras and Bounded Archimedean $$\ell$$-Algebras	0
Shattering k-sets with Permutations	0
Separability, Boxicity, and Partial Orders	0
Partition Rank and Partition Lattices	0
The Minor Order of Homomorphisms via Natural Dualities	0
Constructions of Codes with Weighted Poset Block Metrics	0
On a Problem of Conrad on Riesz Space Structures	0
Extension of Sectional Pseudocomplementation in Posets	0
Antichains in the Bruhat Order for the Classes $$\mathcal {A}(n,k)$$	0
Correction: Choice Functions	0
On Posets, Monomial Ideals, Gorenstein Ideals and their Combinatorics	0

Order Dimension, Grids, and Products	0
Uniform Residuated Lattices and their Cauchy Completions	0
What is $$-Q$$ for a poset Q?	0
On Dually-CPT and Strongly-CPT Posets	0
The Comparability Numbers and the Incomparability Numbers	0
Geometric Realizations of Tamari Interval Lattices Via Cubic Coordinates	0
Two Flags in a Semimodular Lattice Generate an Antimatroid	0
On Some Extensions of Weak Relative Pseudocomplementation in Posets	0
A Type of Algebraic Structure Related to Sets of Intervals	0
Proof of a Conjecture on the Distributivity of Convolution Lattices	0
On the Number of P-free Set Systems for Tree Posets P	0
Continuous Order-Preserving Functions for All Kind of Preorders	0
Higher-dimensional Delta-systems	0
Forcing the Wheel	0
Combinatorics Arising from Lax Colimits of Posets	0
Left Absorption in Products of Countable Orders	0
Sectionable Tournaments: their Topology and Coloring	0
Symmetric Maximal Condorcet Domains	0
Weakenings of the Knaster property	0
Higman’s Lemma is Stronger for Better Quasi Orders	0
Atomic Boolean Lattice Completions of Ordered Sets	0
Fraïssé’s Conjecture and big Ramsey degrees of structures admitting finite monomorphic decomposition	0
Stability of Boolean Function Classes with Respect to Clones of Linear Functions	0
A Construction for Boolean Cube Ramsey Numbers	0
Combinatorial Results on Barcode Lattices	0
On the Equational Theory of Finite Modular Lattices	0
Choice Functions	0
Filter Classes of Upsets of Distributive Lattices	0
A Proof of the Alternate Thomassé Conjecture for Countable N-Free Posets	0
Polynomial-time Equational Theory for Lattices with Unary Operators	0
Algebras, Graphs and Ordered Sets – ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet	0
The Dimension of Divisibility Orders and Multiset Posets	0
A short note on the characterization of countable chains with finite big Ramsey spectra	0
Decidability of Well Quasi-Order and Atomicity for Equivalence Relations Under Embedding Orderings	0
Free Algebras in Finitely Generated Varieties of Commutative BCK-algebras	0
Characteristic Polynomials of the Weak Order on Classical and Affine Coxeter Groups	0
Injective Hulls are Completions of Ordered Algebras	0
Products of Directed Sets with Calibre $$(\omega _1,\omega )$$	0
Pointed Lattice Subreducts of Varieties of Residuated Lattices	0
Improved Lower Bounds on the On-line Chain Partitioning of Posets of Bounded Dimension	0
Orthogonality Relations and Operators on Bounded Quasi-Implication Algebras	0
The Interval Posets of Permutations Seen from the Decomposition Tree Perspective	0
Absolute Retracts for Finite Distributive Lattices and Slim Semimodular Lattices	0
Poset Ramsey Number $$R(P,Q_n)$$. II. N-Shaped Poset	0
Covering Dimension of Finite Distributive Lattices	0
Applications of Order Trees in Infinite Graphs	0
The Category of $$\omega $$-Effect Algebras: Tensor Product and $$\omega $$-Completion	0
Complementary Choice Functions	0
Standard Completions for Pseudo Ordered Sets	0
Representations of Finite Groups by Posets of Small Height	0
Approximation Spaces Defined by Directed Sets	0
Reconstruction of the Ranks of the Nonextremal Cards and of Ordered Sets with a Minmax Pair of Pseudo-Similar Points	0
Amalgamating Poset Extensions and Generating Free Lattices	0
Monotone-Cevian and Finitely Separable Lattices	0
Representations for the Largest Extension of a Closure System	0