OOIR: Observatory of International Research

Papers

(The median citation count of Applied Categorical Structures 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 2021-08-01 to 2025-08-01.)

Article	Citations
Coactions on $$C^*$$-Algebras and Universal Properties	7
Partial Algebras and Implications of (Weak) Matrix Properties	6
A Tangent Category Perspective on Connections in Algebraic Geometry	4
Abelian Categories from Triangulated Categories via Nakaoka–Palu’s Localization	3
Pseudo-Dualizing Complexes of Bicomodules and Pairs of t-Structures	3
Bounded complete J-algebraic lattices	3
Diagrammatics for Comodule Monads	3
On Continuity of Accessible Functors	3
A Categorical Characterization of Quantum Projective $$\mathbb {Z}$$-spaces	3
Isbell Adjunctions and Kan Adjunctions via Quantale-Enriched Two-Variable Adjunctions	3
Compatible Structures of Nonsymmetric Operads, Manin Products and Koszul Duality	2
Bifold Algebras and Commutants for Enriched Algebraic Theories	2
Homotopy Quotients and Comodules of Supercommutative Hopf Algebras	2
A Pullback Diagram in the Coarse Category	2
On n-unital and n-Mal’tsev categories	2
Free gs-Monoidal Categories and Free Markov Categories	2
A DG-Enhancement of $${\text {D}}_{qc}(X)$$ with Applications in Deformation Theory	2
Correction to: Ramsey Properties of Products and Pullbacks of Categories and the Grothendieck Construction	2
Unbounded Algebraic Derivators	2
An Equivalence Between Two Models of $$\infty $$-Categories of Enriched Presheaves	2
Finite Distributive Semilattices	1
Admissibility of Localizations of Crossed Modules	1
Presentations of Pseudodistributive Laws	1
Compact Hausdorff Locales in Presheaf Toposes	1
Double Groupoids and 2-Groupoids in Regular Mal’tsev Categories	1

$$C^*$$ Completions of Leavitt-Path-Algebra Pullbacks	1
A Halmos–von Neumann Theorem for Actions of General Groups	1
Categorical Extension of Dualities: From Stone to de Vries and Beyond, I	1
Generalized Multicategories: Change-of-Base, Embedding, and Descent	1
Sh(B)-Valued Models of $$(\kappa ,\kappa )$$-Coherent Categories	1
The Karoubi envelope and weak idempotent completion of an extriangulated category	1
Extension of Topological Groupoids and Hurewicz Morphisms	1
Homotopical Models for Metric Spaces and Completeness	1
Bicategories of Action Groupoids	1
Categorical View of the Partite Lemma in Structural Ramsey Theory	1
Semantic Factorization and Descent	1
Descent for internal multicategory functors	1
A Characterization of n-Gorenstein Tilting Comodules	1
Compatibility of t-Structures in a Semiorthogonal Decomposition	1
Clifford’s Theorem for Orbit Categories	1
The Booleanization of a d-frame	1
On String Algebras and the Cohen–Macaulay Auslander Algebras	1
Internalizations of Decorated Bicategories via $$\pi _2$$-Indexings	1
Maximal Ordered Groupoids and a Galois Correspondence for Inverse Semigroup Orthogonal Actions	1
Inner Automorphisms of Presheaves of Groups	0
Hardly Groupoids and Internal Categories in Gumm Categories	0
Pervin Spaces and Frith Frames: Bitopological Aspects and Completion	0
Higher Auslander’s defect and classifying substructures of $$\varvec{n}$$-exangulated categories	0
Lallement Functor is a Weak Right Multiadjoint	0
General Facts on the Scott Adjunction	0
Dold–Kan Correspondence, Revisited	0
Nonexistence of Colimits in Naive Discrete Homotopy Theory	0
Discrete Vertices in Simplicial Objects Internal to a Monoidal Category	0
A Relative Silting Theorem	0
Enriched Kleisli Objects for Pseudomonads	0
Split Extensions and Actions of Bialgebras and Hopf Algebras	0
Operators Between Classes of Modules Given by Preradicals	0
Weighted Colimits of 2-Representations and Star Algebras	0
Dualizations of Approximations, $$\aleph _1$$-Projectivity, and Vopěnka’s Principles	0
Relative Oppermann–Thomas Cluster Tilting Objects in $$(n+2)$$-Angulated Categories	0
Ramsey Properties of Products and Pullbacks of Categories and the Grothendieck Construction	0
Commutative Objects, Central Morphisms and Subtractors in Subtractive Categories	0
Rings and Modules in Kan Spectra	0
Koszul Monoids in Quasi-abelian Categories	0
Morita Equivalence and Morita Duality for Rings with Local Units and the Subcategory of Projective Unitary Modules	0
Functorial Polar Functions in Compact Normal Joinfit Frames	0
Counting Functions for Random Objects in a Category	0
The Structure of Aisles and Co-aisles of t-Structures and Co-t-structures	0
Generalization of the Dehornoy–Lafont Order Complex to Categories: Application to Exceptional Braid Groups	0
A remark on the total simplicial set functor	0
Lawvere’s Frobenius Reciprocity, the Modular Connections of Grandis and Dilworth’s Abstract Principal Ideals	0
Grothendieck Enriched Categories	0
A Topological Duality for Monotone Expansions of Semilattices	0
The Representation Theory of Brauer Categories I: Triangular Categories	0
A Note on the Smash Product and Regular Associativity	0

Homotopy (Co)limits via Homotopy (Co)ends in General Combinatorial Model Categories	0
Morphisms and Pushouts in Compact Normal Joinfit Frames	0
A symmetric approach to higher coverings in categorical Galois theory	0
Weight Structures Cogenerated by Weak Cocompact Objects	0
Parametrised Presentability Over Orbital Categories	0
Algebraic Dynamical Systems in Machine Learning	0
Bi-accessible and Bipresentable 2-Categories	0
Kan Extensions are Partial Colimits	0
The Stone Representations for Generalized Continuous Posets	0
Covariant Isotropy of Grothendieck Toposes and Extensive Categories	0
Homotopy Sheaves on Generalised Spaces	0
Partialising Institutions	0
Distributive Laws for Relative Monads	0
Profunctors Between Posets and Alexander Duality	0
The Categorical Basis of Dynamical Entropy	0
Torsion Theories and Coverings of V-Groups	0
Some Modifications of Hull Operators in Archimedean Lattice-Ordered Groups with Weak Unit	0
Presenting the Sierpinski Gasket in Various Categories of Metric Spaces	0
Universal Finite Functorial Semi-norms	0
On the Cocartesian Image of Preorders and Equivalence Relations in Regular Categories	0
Idempotent Completions of n-Exangulated Categories	0
Minimal Models of Some Differential Graded Modules	0
Additive Grothendieck Pretopologies and Presentations of Tensor Categories	0
On the Composition of Three Irreducible Morphisms in the Bounded Homotopy Category	0
A Characterisation for the Category of Hilbert Spaces	0
The Differential Bundles of the Geometric Tangent Category of an Operad	0
On the Structure of an Internal Groupoid	0
Acyclicity Conditions on Pasting Diagrams	0
Trace Decategorification of Categorified Quantum sl(3)	0
Maps with Discrete Fibers and the Origin of Basepoints	0
Matrix Taxonomy and Bourn Localization	0
Codescent and Bicolimits of Pseudo-Algebras	0
Hopf Monads: A Survey with New Examples and Applications	0
2-Cartesian Fibrations I: A Model for $$\infty $$-Bicategories Fibred in $$\infty $$-Bicategories	0
A Characterization of Differential Bundles in Tangent Categories	0
Monadic Aspects of the Ideal Lattice Functor on the Category of Distributive Lattices	0
Canonical extensions via fitted sublocales	0
Correction to: The Karoubi envelope and weak idempotent completion of an extriangulated category	0
Projective and Reedy Model Category Structures for (Infinitesimal) Bimodules over an Operad	0
Internal Enriched Categories	0
Topological Quantum Field Theories and Homotopy Cobordisms	0
Presenting Quotient Locales	0
The Leibniz PROP is a Crossed Presimplicial Algebra	0
Locally Type $$\text {FP}_{{\varvec{n}}}$$ and $${\varvec{n}}$$-Coherent Categories	0
q-Tensor and Exterior Centers, Related Degrees and Capability	0
0-Ideal Monad and Its Applications to Approach Spaces	0
Quotients of Span Categories that are Allegories and the Representation of Regular Categories	0
Local Cohen–Macaulay DG-Modules	0
Deriving Dualities in Pointfree Topology from Priestley Duality	0
Continuous Nakayama Representations	0
Correction: Presenting Quotient Locales	0
Pointless Parts of Completely Regular Frames	0
2-Limits and 2-Terminal Objects are too Different	0
Grothendieck’s Vanishing and Non-vanishing Theorems in an Abstract Module Category	0
Tietze Equivalences as Weak Equivalences	0
Dagger Categories and the Complex Numbers: Axioms for the Category of Finite-Dimensional Hilbert Spaces and Linear Contractions	0
Double Categories of Relations Relative to Factorisation Systems	0
From Gs-monoidal to Oplax Cartesian Categories: Constructions and Functorial Completeness	0
Non-Abelian Extensions of Groupoids and Their Groupoid Rings	0
String and Band Complexes Over String Almost Gentle Algebras	0
De Vries Powers and Proximity Specker Algebras	0
The Commutant and Center of a Generalized Green Functor	0
Diagrammatic Presentations of Enriched Monads and Varieties for a Subcategory of Arities	0
Operads, Operadic Categories and the Blob Complex	0
R-Linear Triangulated Categories and Stability Conditions	0
Semiseparable Functors and Conditions up to Retracts	0
Semilattice Base Hierarchy for Frames and Its Topological Ramifications	0
Vopěnka’s Principle, Maximum Deconstructibility, and Singly-Generated Torsion Classes	0
A Simplicial Category for Higher Correspondences	0
Choice-Free Duality for Tarski Algebras	0
Unitless Frobenius Quantales	0
Locally Coherent Exact Categories	0
Editorial	0
Operad Structures on the Species Composition of Two Operads	0
Coends of Higher Arity	0
Closed and Open Maps for Partial Frames	0
The Operadic Theory of Convexity	0
Higher Catoids, Higher Quantales and their Correspondences	0
Yoneda Lemma for Simplicial Spaces	0