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 2021-06-01 to 2025-06-01.)

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
Diagrammatics for Comodule Monads	4
On Continuity of Accessible Functors	3
A Categorical Characterization of Quantum Projective $$\mathbb {Z}$$-spaces	3
A DG-Enhancement of $${\text {D}}_{qc}(X)$$ with Applications in Deformation Theory	3
Isbell Adjunctions and Kan Adjunctions via Quantale-Enriched Two-Variable Adjunctions	3
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
Correction to: Ramsey Properties of Products and Pullbacks of Categories and the Grothendieck Construction	2
An Equivalence Between Two Models of $$\infty $$-Categories of Enriched Presheaves	2
On n-unital and n-Mal’tsev categories	2
Compatible Structures of Nonsymmetric Operads, Manin Products and Koszul Duality	2
On the De Morgan’s Laws for Modules	2
Unbounded Algebraic Derivators	2
A Pullback Diagram in the Coarse Category	2
Bifold Algebras and Commutants for Enriched Algebraic Theories	2
Homotopy Quotients and Comodules of Supercommutative Hopf Algebras	2
A Characterization of n-Gorenstein Tilting Comodules	1
Compatibility of t-Structures in a Semiorthogonal Decomposition	1
Compact Hausdorff Locales in Presheaf Toposes	1
Homotopical Models for Metric Spaces and Completeness	1
Sh(B)-Valued Models of $$(\kappa ,\kappa )$$-Coherent Categories	1

A Halmos–von Neumann Theorem for Actions of General Groups	1
Descent for internal multicategory functors	1
Categorical Extension of Dualities: From Stone to de Vries and Beyond, I	1
Categorical View of the Partite Lemma in Structural Ramsey Theory	1
Presentations of Pseudodistributive Laws	1
The Karoubi envelope and weak idempotent completion of an extriangulated category	1
The Booleanization of a d-frame	1
On String Algebras and the Cohen–Macaulay Auslander Algebras	1
Semantic Factorization and Descent	1
Free gs-Monoidal Categories and Free Markov Categories	1
Generalized Multicategories: Change-of-Base, Embedding, and Descent	1
Maximal Ordered Groupoids and a Galois Correspondence for Inverse Semigroup Orthogonal Actions	1
Bicategories of Action Groupoids	1
Clifford’s Theorem for Orbit Categories	1
Extension of Topological Groupoids and Hurewicz Morphisms	1
$$C^*$$ Completions of Leavitt-Path-Algebra Pullbacks	1
Internalizations of Decorated Bicategories via $$\pi _2$$-Indexings	1
Admissibility of Localizations of Crossed Modules	1
Finite Distributive Semilattices	1
Cartesian Differential Categories as Skew Enriched Categories	1
Nonexistence of Colimits in Naive Discrete Homotopy Theory	0
Distributive Laws for Relative Monads	0
Adjunction in the Absence of Identity	0
Parametrised Presentability Over Orbital Categories	0
Homotopy (Co)limits via Homotopy (Co)ends in General Combinatorial Model Categories	0
Split Extensions and Actions of Bialgebras and Hopf Algebras	0
Coends of Higher Arity	0
Weight Structures Cogenerated by Weak Cocompact Objects	0
Dualizations of Approximations, $$\aleph _1$$-Projectivity, and Vopěnka’s Principles	0
The Operadic Theory of Convexity	0
Publisher Correction to: Injective Hulls of Quantale-Enriched Multicategories	0
Idempotent Completions of n-Exangulated Categories	0
Rings and Modules in Kan Spectra	0
General Facts on the Scott Adjunction	0
Higher Auslander’s defect and classifying substructures of $$\varvec{n}$$-exangulated categories	0
Ramsey Properties of Products and Pullbacks of Categories and the Grothendieck Construction	0
Matrix Taxonomy and Bourn Localization	0
A New Diagonal Separation and its Relations With the Hausdorff Property	0
Deriving Dualities in Pointfree Topology from Priestley Duality	0
Trace Decategorification of Categorified Quantum sl(3)	0
A Characterization of Differential Bundles in Tangent Categories	0
Grothendieck’s Vanishing and Non-vanishing Theorems in an Abstract Module Category	0
Pointless Parts of Completely Regular Frames	0
Hopf Monads: A Survey with New Examples and Applications	0
Counting Functions for Random Objects in a Category	0
Canonical extensions via fitted sublocales	0
Presenting the Sierpinski Gasket in Various Categories of Metric Spaces	0
Double Categories of Relations Relative to Factorisation Systems	0
The Commutant and Center of a Generalized Green Functor	0
Minimal Models of Some Differential Graded Modules	0

De Vries Powers and Proximity Specker Algebras	0
Covariant Isotropy of Grothendieck Toposes and Extensive Categories	0
Hardly Groupoids and Internal Categories in Gumm Categories	0
Acyclicity Conditions on Pasting Diagrams	0
Partialising Institutions	0
Maps with Discrete Fibers and the Origin of Basepoints	0
A Simplicial Category for Higher Correspondences	0
The Categorical Basis of Dynamical Entropy	0
2-Cartesian Fibrations I: A Model for $$\infty $$-Bicategories Fibred in $$\infty $$-Bicategories	0
Algebraic Dynamical Systems in Machine Learning	0
The Representation Theory of Brauer Categories I: Triangular Categories	0
Projective and Reedy Model Category Structures for (Infinitesimal) Bimodules over an Operad	0
Universal Finite Functorial Semi-norms	0
A symmetric approach to higher coverings in categorical Galois theory	0
Topological Quantum Field Theories and Homotopy Cobordisms	0
A Note on the Smash Product and Regular Associativity	0
Inner Automorphisms of Presheaves of Groups	0
Commutative Objects, Central Morphisms and Subtractors in Subtractive Categories	0
From Gs-monoidal to Oplax Cartesian Categories: Constructions and Functorial Completeness	0
On the Structure of an Internal Groupoid	0
Local Cohen–Macaulay DG-Modules	0
Injective Hulls of Quantale-Enriched Multicategories	0
Yoneda Lemma for Simplicial Spaces	0
Lawvere’s Frobenius Reciprocity, the Modular Connections of Grandis and Dilworth’s Abstract Principal Ideals	0
Correction: Presenting Quotient Locales	0
Dold–Kan Correspondence, Revisited	0
Semiseparable Functors and Conditions up to Retracts	0
Pervin Spaces and Frith Frames: Bitopological Aspects and Completion	0
Operators Between Classes of Modules Given by Preradicals	0
A Relative Silting Theorem	0
The Stone Representations for Generalized Continuous Posets	0
String and Band Complexes Over String Almost Gentle Algebras	0
Operad Structures on the Species Composition of Two Operads	0
Tietze Equivalences as Weak Equivalences	0
Relative Oppermann–Thomas Cluster Tilting Objects in $$(n+2)$$-Angulated Categories	0
A Characterisation for the Category of Hilbert Spaces	0
The Differential Bundles of the Geometric Tangent Category of an Operad	0
Higher Coverings of Racks and Quandles—Part II	0
Bi-accessible and Bipresentable 2-Categories	0
Diagrammatic Presentations of Enriched Monads and Varieties for a Subcategory of Arities	0
R-Linear Triangulated Categories and Stability Conditions	0
Continuous Nakayama Representations	0
Semilattice Base Hierarchy for Frames and Its Topological Ramifications	0
Grothendieck Enriched Categories	0
Additive Grothendieck Pretopologies and Presentations of Tensor Categories	0
Unitless Frobenius Quantales	0
Editorial	0
Correction to: The Karoubi envelope and weak idempotent completion of an extriangulated category	0
Closed and Open Maps for Partial Frames	0
Dagger Categories and the Complex Numbers: Axioms for the Category of Finite-Dimensional Hilbert Spaces and Linear Contractions	0
Internal Enriched Categories	0
Codescent and Bicolimits of Pseudo-Algebras	0
2-Limits and 2-Terminal Objects are too Different	0
Kan Extensions are Partial Colimits	0
Quotients of Span Categories that are Allegories and the Representation of Regular Categories	0
0-Ideal Monad and Its Applications to Approach Spaces	0
Operads, Operadic Categories and the Blob Complex	0
Locally Type $$\text {FP}_{{\varvec{n}}}$$ and $${\varvec{n}}$$-Coherent Categories	0
Homotopy Sheaves on Generalised Spaces	0
Morita Equivalence and Morita Duality for Rings with Local Units and the Subcategory of Projective Unitary Modules	0
Vopěnka’s Principle, Maximum Deconstructibility, and Singly-Generated Torsion Classes	0
Torsion Theories and Coverings of V-Groups	0
Profunctors Between Posets and Alexander Duality	0
Generalization of the Dehornoy–Lafont Order Complex to Categories: Application to Exceptional Braid Groups	0
Locally Coherent Exact Categories	0
On the Cocartesian Image of Preorders and Equivalence Relations in Regular Categories	0
Some Modifications of Hull Operators in Archimedean Lattice-Ordered Groups with Weak Unit	0
A Topological Duality for Monotone Expansions of Semilattices	0
Presenting Quotient Locales	0
Morphisms and Pushouts in Compact Normal Joinfit Frames	0
Weighted Colimits of 2-Representations and Star Algebras	0
On the Composition of Three Irreducible Morphisms in the Bounded Homotopy Category	0
q-Tensor and Exterior Centers, Related Degrees and Capability	0
Non-Abelian Extensions of Groupoids and Their Groupoid Rings	0
Koszul Monoids in Quasi-abelian Categories	0
Lallement Functor is a Weak Right Multiadjoint	0
Functorial Polar Functions in Compact Normal Joinfit Frames	0
The Structure of Aisles and Co-aisles of t-Structures and Co-t-structures	0