OOIR: Observatory of International Research

Papers

(The TQCC of Order-A Journal on the Theory of Ordered Sets and Its Applications is 1. 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 2022-05-01 to 2026-05-01.)

Article	Citations
$$\mathfrak {m}$$-Baer and $$\mathfrak {m}$$-Rickart Lattices	10
Spaces Determined by their Smyth Hyperspaces with the Scott Topology	8
Projective and External Saturation Problem for Posets	7
Chain Conditions and Optimal Elements in Generalized Union-Closed Families of Sets	6
Partially Ordered Fields and Integral Domains	5
Promotion Sorting	4
Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics	3
Jordan-Hölder Theorem with Uniqueness for Semimodular Lattices	3
Controlling the C3 Super Class Linearization Algorithm for Large Hierarchies of Classes	3
Existence and Structure of Nash Equilibria for Supermodular Games	3
Classification of Non-Archimedean Abelian Po-Groups	3
Effective Descent Morphisms of Filtered Preorders	3
Construction of Quantum B-algebras over Posets	3
Independent Sets of Non-geometric Lattices and the Maximal Adjoint	3
An Approximation Algorithm for Random Generation of Capacities	2
Notes on Sharp and Principal Elements in Effect Algebras	2
Positive Modal Hilbert Algebras and Fischer Servi Modal Hilbert Algebras	2
Maximal Cliques Lattices Structures for Cocomparability Graphs with Algorithmic Applications	2
The Saturation Spectrum for Antichains of Subsets	2
On Nontrivial Weak Dicomplementations and the Lattice Congruences that Preserve Them	2
Chain-dependent Conditions in Extremal Set Theory	2
Graph Parameters, Universal Obstructions, and WQO	2
On Finitely-Generated Johansson Algebras	1
Erdős-Hajnal Problems for Posets	1
Boolean Dimension of a Boolean Lattice	1

Approximation Spaces Defined by Directed Sets	1
Polymatroids, Closure Operators and Lattices	1
Combinatorics Arising from Lax Colimits of Posets	1
Higman’s Lemma is Stronger for Better Quasi Orders	1
Truncation Structures	1
Well-quasi-ordering and Embeddability of Relational Structures	1
Characterization of Order Structures Avoiding Three-term Arithmetic Progressions	1
Sizes of Flat Maximal Antichains of Subsets	1
Linearly Shellable Complexes	1
Joins of Closed Sublocales are not Always A Coframe	1
Applications of Order Trees in Infinite Graphs	1
Forbidden Subposets in the Cycle Poset	1
Induced Orthogonality in Semilattices with 0 and in Pseudocomplemented Lattices and Posets	1
Poset Ramsey Number $$R(P,Q_{n})$$. I. Complete Multipartite Posets	1
The Canonical Complex of the Weak Order	1
On the Automorphism Group of the Substructure Ordering of Finite Directed Graphs	1
General Mixed Lattices	1
Length-preserving Extensions of a Semimodular Lattice by Lowering a Join-irreducible Element	1
Complementary Choice Functions	1