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 2021-02-01 to 2025-02-01.)

Article	Citations
Orthomodular Bands	9
Completions of Pseudo Ordered Sets	6
On Properly Ordered Coloring of Vertices in a Vertex-Weighted Graph	6
Partially Ordered Fields and Integral Domains	5
What is $$-Q$$ for a poset Q?	4
Improved Lower Bounds on the On-line Chain Partitioning of Posets of Bounded Dimension	4
Gluing Residuated Lattices	4
Characterization of Order Structures Avoiding Three-term Arithmetic Progressions	4
Projective and External Saturation Problem for Posets	4
Order-Preserving Self-Maps of Complete Lattices	3
Covering Dimension and Universality Property on Frames	3
Amalgamating Poset Extensions and Generating Free Lattices	3
Extending Orders on Rings with Idempotents and d-elements	2
Sizes of Flat Maximal Antichains of Subsets	2
Algebras, Graphs and Ordered Sets – ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet	2
Injective Hulls are Completions of Ordered Algebras	2
Choice Functions on Posets	2
Interval Posets of Permutations	2
Well-quasi-ordering and Embeddability of Relational Structures	2
Largest Family Without a Pair of Posets on Consecutive Levels of the Boolean Lattice	1
Transversals of Total Strict Linear Orders	1
On the Rigidity of Lattices of Topologies on Vector Spaces	1
A Proof of the Alternate Thomassé Conjecture for Countable N-Free Posets	1
On a Problem of Conrad on Riesz Space Structures	1
Characteristic Polynomials of the Weak Order on Classical and Affine Coxeter Groups	1

Sectionally Pseudocomplemented Posets	1
A Point-Free Approach to Canonical Extensions of Boolean Algebras and Bounded Archimedean $$\ell$$-Algebras	1
Order Distances and Split Systems	1
A Generalization of a Theorem of Erné about the Number of Posets with a Fixed Antichain	1
Correction: Choice Functions	1
$$\mathfrak {m}$$-Baer and $$\mathfrak {m}$$-Rickart Lattices	1
Extension of Sectional Pseudocomplementation in Posets	1
Poset Ramsey Number $$R(P,Q_{n})$$. I. Complete Multipartite Posets	1
Antichains in the Bruhat Order for the Classes $$\mathcal {A}(n,k)$$	1
A Symmetric-Difference-Closed Orthomodular Lattice That Is Stateless	1
Are Chain-Complete Posets Co-wellpowered?	1
On Dually-CPT and Strongly-CPT Posets	1
The Dimension of Divisibility Orders and Multiset Posets	1
Poset Ramsey Numbers for Boolean Lattices	1
Spaces Determined by their Smyth Hyperspaces with the Scott Topology	1
On Finitely-Generated Johansson Algebras	1
Representations for the Largest Extension of a Closure System	0
Jordan-Hölder Theorem with Uniqueness for Semimodular Lattices	0
Induced Orthogonality in Semilattices with 0 and in Pseudocomplemented Lattices and Posets	0
The Coincidence of the Bruhat Order and the Secondary Bruhat Order on $$\mathcal {A}(n,k)$$	0
Construction of Quantum B-algebras over Posets	0
Absolute Retracts for Finite Distributive Lattices and Slim Semimodular Lattices	0
Cluster Algebras and Binary Subwords	0
Controlling the C3 Super Class Linearization Algorithm for Large Hierarchies of Classes	0
Orthogonality Spaces Associated with Posets	0
Big Ramsey Spectra of Countable Chains	0
The Saturation Spectrum for Antichains of Subsets	0
Adjoining a Strong Unit to an Archimedean Lattice-Ordered Group	0
An Infinite Antichain of Planar Tanglegrams	0
Two Flags in a Semimodular Lattice Generate an Antimatroid	0
Choice Functions	0
Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics	0
A short note on the characterization of countable chains with finite big Ramsey spectra	0
The Interval Posets of Permutations Seen from the Decomposition Tree Perspective	0
An Approximation Algorithm for Random Generation of Capacities	0
Integral Operators on Lattices	0
Shattering k-sets with Permutations	0
Pointed Lattice Subreducts of Varieties of Residuated Lattices	0
Continuous Order-Preserving Functions for All Kind of Preorders	0
Notes on Sharp and Principal Elements in Effect Algebras	0
Ordering Starlike Trees by the Totality of Their Spectral Moments	0
Representations of Finite Groups by Posets of Small Height	0
Reconstruction of the Ranks of the Nonextremal Cards and of Ordered Sets with a Minmax Pair of Pseudo-Similar Points	0
Higher-dimensional Delta-systems	0
Sectionable Tournaments: their Topology and Coloring	0
Existence and Structure of Nash Equilibria for Supermodular Games	0
Injective Hulls in the Category of Mildly Distributive Semilattices	0
Stability of Boolean Function Classes with Respect to Clones of Linear Functions	0
Borel Colouring Bad Rays	0
The Canonical Complex of the Weak Order	0

Uniform Residuated Lattices and their Cauchy Completions	0
On Posets, Monomial Ideals, Gorenstein Ideals and their Combinatorics	0
On the Number of P-free Set Systems for Tree Posets P	0
Cartesian Lattice Counting by the Vertical 2-sum	0
Combinatorics Arising from Lax Colimits of Posets	0
Continuity and Directed Completion of Topological Spaces	0
The Fixed Point Property in the Set of All Order Relations on a Finite Set	0
MV-algebras and Partially Cyclically Ordered Groups	0
The Central Decomposition of FD01(n)	0
Idempotents in the Endomorphism Algebra of a Finite Lattice	0
Combinatorial Results on Barcode Lattices	0
Patterns in Shi Tableaux and Dyck Paths	0
Forbidden Subposets in the Cycle Poset	0
Poset Exponentiation and a Counterexample Birkhoff Said in 1942 He Did Not Have	0
Chain-dependent Conditions in Extremal Set Theory	0
The Category of $$\omega $$-Effect Algebras: Tensor Product and $$\omega $$-Completion	0
On the Automorphism Group of the Substructure Ordering of Finite Directed Graphs	0
Enumerative Combinatorics of Intervals in the Dyck Pattern Poset	0
Covering Dimension of Finite Distributive Lattices	0
A Study of the Small Inductive Dimension in the Area of Finite Lattices	0
Applications of Order Trees in Infinite Graphs	0
Filter Classes of Upsets of Distributive Lattices	0
On Contextuality and Unsharp Quantum Logic	0
Linearly Shellable Complexes	0
F3-Reconstruction and Bi-Founded 2-Structures	0
Length-preserving Extensions of a Semimodular Lattice by Lowering a Join-irreducible Element	0
General Mixed Lattices	0
Symmetric Maximal Condorcet Domains	0
Maximal Cliques Lattices Structures for Cocomparability Graphs with Algorithmic Applications	0
Complementary Choice Functions	0
Decidability of Well Quasi-Order and Atomicity for Equivalence Relations Under Embedding Orderings	0
Higman’s Lemma is Stronger for Better Quasi Orders	0
Effective Descent Morphisms of Filtered Preorders	0
Subordinations on Bounded Distributive Lattices	0
Free Algebras in Finitely Generated Varieties of Commutative BCK-algebras	0
Partition Rank and Partition Lattices	0
Critical Relations of Crowns in Critical Times of Coronavirus Depression	0
Polymatroids, Closure Operators and Lattices	0
Invariant Computation in a Poset	0
Separability, Boxicity, and Partial Orders	0
Stratifications on the Ran Space	0
Geometric Realizations of Tamari Interval Lattices Via Cubic Coordinates	0
Order-Sensitive Domination in Partially Ordered Sets and Graphs	0
Characterization of B0-VPG Cocomparability Graphs and a 2D Visualization of their Posets	0
Ptolemaic and Chordal Cover-Incomparability Graphs	0
Rainbow Ramsey Problems for the Boolean Lattice	0
The Comparability Numbers and the Incomparability Numbers	0
Poset Ramsey Number $$R(P,Q_n)$$. II. N-Shaped Poset	0
Constructions of Codes with Weighted Poset Block Metrics	0
A Study on Some Classes of Distributive Lattices with a Generalized Implication	0
The Number of Subuniverses, Congruences, Weak Congruences of Semilattices Defined by Trees	0
The Dedekind-MacNeille Completion of a Poset as a Set of Ideals of the Incidence Algebra	0
Helly-Type Theorems for the Ordering of the Vertices of a Hypergraph	0
Left Absorption in Products of Countable Orders	0
Monotone-Cevian and Finitely Separable Lattices	0
On Nontrivial Weak Dicomplementations and the Lattice Congruences that Preserve Them	0
Weakenings of the Knaster property	0
A Construction for Boolean Cube Ramsey Numbers	0
Correction: Pointed Lattice Subreducts of Varieties of Residuated Lattices	0
The Voter Basis and the Admissibility of Tree Characters	0
On the Width of the Cartesian Product of Ordinals	0
Forcing the Wheel	0
A Generalization of Strassen’s Theorem on Preordered Semirings	0
The Minor Order of Homomorphisms via Natural Dualities	0
The Distinguishing Number and Distinguishing Chromatic Number for Posets	0
Boolean Dimension of a Boolean Lattice	0
A Type of Algebraic Structure Related to Sets of Intervals	0
Promotion Sorting	0