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 2021-09-01 to 2025-09-01.)

Article	Citations
Coactions on $$C^*$$-Algebras and Universal Properties	8
Partial Algebras and Implications of (Weak) Matrix Properties	6
A Tangent Category Perspective on Connections in Algebraic Geometry	4
Pseudo-Dualizing Complexes of Bicomodules and Pairs of t-Structures	3
A Categorical Characterization of Quantum Projective $$\mathbb {Z}$$-spaces	3
On Continuity of Accessible Functors	3
Abelian Categories from Triangulated Categories via Nakaoka–Palu’s Localization	3
A DG-Enhancement of $${\text {D}}_{qc}(X)$$ with Applications in Deformation Theory	3
Bounded complete J-algebraic lattices	3
Diagrammatics for Comodule Monads	3
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
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
Unbounded Algebraic Derivators	2
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
Compact Hausdorff Locales in Presheaf Toposes	1
A Characterization of n-Gorenstein Tilting Comodules	1
A Halmos–von Neumann Theorem for Actions of General Groups	1
Admissibility of Localizations of Crossed Modules	1
Bicategories of Action Groupoids	1
Clifford’s Theorem for Orbit Categories	1

Torsion Theories and Coverings of V-Groups	1
On String Algebras and the Cohen–Macaulay Auslander Algebras	1
The Booleanization of a d-frame	1
Homotopical Models for Metric Spaces and Completeness	1
Categorical View of the Partite Lemma in Structural Ramsey Theory	1
Descent for internal multicategory functors	1
Finite Distributive Semilattices	1
Semantic Factorization and Descent	1
The Karoubi envelope and weak idempotent completion of an extriangulated category	1
Compatibility of t-Structures in a Semiorthogonal Decomposition	1
Discrete Vertices in Simplicial Objects Internal to a Monoidal Category	1
Extension of Topological Groupoids and Hurewicz Morphisms	1
Sh(B)-Valued Models of $$(\kappa ,\kappa )$$-Coherent Categories	1
Internalizations of Decorated Bicategories via $$\pi _2$$-Indexings	1
Maximal Ordered Groupoids and a Galois Correspondence for Inverse Semigroup Orthogonal Actions	1
Generalized Multicategories: Change-of-Base, Embedding, and Descent	1
Presentations of Pseudodistributive Laws	1
Grothendieck’s Vanishing and Non-vanishing Theorems in an Abstract Module Category	1
$$C^*$$ Completions of Leavitt-Path-Algebra Pullbacks	1
Double Groupoids and 2-Groupoids in Regular Mal’tsev Categories	1
Projective and Reedy Model Category Structures for (Infinitesimal) Bimodules over an Operad	0
Vopěnka’s Principle, Maximum Deconstructibility, and Singly-Generated Torsion Classes	0
Local Cohen–Macaulay DG-Modules	0
Higher Auslander’s defect and classifying substructures of $$\varvec{n}$$-exangulated categories	0
Topological Quantum Field Theories and Homotopy Cobordisms	0
Locally Coherent Exact Categories	0
Internal Enriched Categories	0
Semiseparable Functors and Conditions up to Retracts	0
Pervin Spaces and Frith Frames: Bitopological Aspects and Completion	0
The Leibniz PROP is a Crossed Presimplicial Algebra	0
q-Tensor and Exterior Centers, Related Degrees and Capability	0
R-Linear Triangulated Categories and Stability Conditions	0
General Facts on the Scott Adjunction	0
Lallement Functor is a Weak Right Multiadjoint	0
The Differential Bundles of the Geometric Tangent Category of an Operad	0
The Representation Theory of Brauer Categories I: Triangular Categories	0
Presenting Quotient Locales	0
Deriving Dualities in Pointfree Topology from Priestley Duality	0
Distributive Laws for Relative Monads	0
Canonical extensions via fitted sublocales	0
Pointless Parts of Completely Regular Frames	0
Double Categories of Relations Relative to Factorisation Systems	0
Continuous Nakayama Representations	0
From Gs-monoidal to Oplax Cartesian Categories: Constructions and Functorial Completeness	0
Minimal Models of Some Differential Graded Modules	0
De Vries Powers and Proximity Specker Algebras	0
Dualizations of Approximations, $$\aleph _1$$-Projectivity, and Vopěnka’s Principles	0
The Structure of Aisles and Co-aisles of t-Structures and Co-t-structures	0
Split Extensions and Actions of Bialgebras and Hopf Algebras	0
Commutative Objects, Central Morphisms and Subtractors in Subtractive Categories	0

A remark on the total simplicial set functor	0
String and Band Complexes Over String Almost Gentle Algebras	0
Maps with Discrete Fibers and the Origin of Basepoints	0
The Commutant and Center of a Generalized Green Functor	0
Editorial	0
Operads, Operadic Categories and the Blob Complex	0
Unitless Frobenius Quantales	0
Closed and Open Maps for Partial Frames	0
Lawvere’s Frobenius Reciprocity, the Modular Connections of Grandis and Dilworth’s Abstract Principal Ideals	0
Correction to: The Karoubi envelope and weak idempotent completion of an extriangulated category	0
Idempotent Completions of n-Exangulated Categories	0
A Characterization of Differential Bundles in Tangent Categories	0
The Operadic Theory of Convexity	0
Generalization of the Dehornoy–Lafont Order Complex to Categories: Application to Exceptional Braid Groups	0
Higher Catoids, Higher Quantales and their Correspondences	0
On the Structure of an Internal Groupoid	0
Inner Automorphisms of Presheaves of Groups	0
A Topological Duality for Monotone Expansions of Semilattices	0
Grothendieck Enriched Categories	0
Locally Type $$\text {FP}_{{\varvec{n}}}$$ and $${\varvec{n}}$$-Coherent Categories	0
Operad Structures on the Species Composition of Two Operads	0
Partialising Institutions	0
The Stone Representations for Generalized Continuous Posets	0
Morita Equivalence and Morita Duality for Rings with Local Units and the Subcategory of Projective Unitary Modules	0
Dold–Kan Correspondence, Revisited	0
Operators Between Classes of Modules Given by Preradicals	0
Bi-accessible and Bipresentable 2-Categories	0
A Relative Silting Theorem	0
Enriched Kleisli Objects for Pseudomonads	0
Relative Oppermann–Thomas Cluster Tilting Objects in $$(n+2)$$-Angulated Categories	0
Nonexistence of Colimits in Naive Discrete Homotopy Theory	0
Koszul Monoids in Quasi-abelian Categories	0
The Categorical Basis of Dynamical Entropy	0
Non-Abelian Extensions of Groupoids and Their Groupoid Rings	0
Algebraic Dynamical Systems in Machine Learning	0
Universal Finite Functorial Semi-norms	0
Diagrammatic Presentations of Enriched Monads and Varieties for a Subcategory of Arities	0
A Simplicial Category for Higher Correspondences	0
Rings and Modules in Kan Spectra	0
Semilattice Base Hierarchy for Frames and Its Topological Ramifications	0
Homotopy (Co)limits via Homotopy (Co)ends in General Combinatorial Model Categories	0
Matrix Taxonomy and Bourn Localization	0
Tietze Equivalences as Weak Equivalences	0
Yoneda Lemma for Simplicial Spaces	0
Weight Structures Cogenerated by Weak Cocompact Objects	0
Covariant Isotropy of Grothendieck Toposes and Extensive Categories	0
A symmetric approach to higher coverings in categorical Galois theory	0
Trace Decategorification of Categorified Quantum sl(3)	0
Counting Functions for Random Objects in a Category	0
Parametrised Presentability Over Orbital Categories	0
Hopf Monads: A Survey with New Examples and Applications	0
Correction: Presenting Quotient Locales	0
Kan Extensions are Partial Colimits	0
Monoidal Envelopes of Families of $$\infty $$-Operads and $$\infty $$-Operadic Kan Extensions	0
Quotients of Span Categories that are Allegories and the Representation of Regular Categories	0
Choice-Free Duality for Tarski Algebras	0
Morphisms and Pushouts in Compact Normal Joinfit Frames	0
Homotopy Sheaves on Generalised Spaces	0
Presenting the Sierpinski Gasket in Various Categories of Metric Spaces	0
0-Ideal Monad and Its Applications to Approach Spaces	0
Profunctors Between Posets and Alexander Duality	0
On the Cocartesian Image of Preorders and Equivalence Relations in Regular Categories	0
A Characterisation for the Category of Hilbert Spaces	0
Some Modifications of Hull Operators in Archimedean Lattice-Ordered Groups with Weak Unit	0
Weighted Colimits of 2-Representations and Star Algebras	0
On the Composition of Three Irreducible Morphisms in the Bounded Homotopy Category	0
Dagger Categories and the Complex Numbers: Axioms for the Category of Finite-Dimensional Hilbert Spaces and Linear Contractions	0
Acyclicity Conditions on Pasting Diagrams	0
2-Limits and 2-Terminal Objects are too Different	0
Hardly Groupoids and Internal Categories in Gumm Categories	0
Codescent and Bicolimits of Pseudo-Algebras	0
A Note on the Smash Product and Regular Associativity	0
Functorial Polar Functions in Compact Normal Joinfit Frames	0
Ramsey Properties of Products and Pullbacks of Categories and the Grothendieck Construction	0
Monadic Aspects of the Ideal Lattice Functor on the Category of Distributive Lattices	0
Additive Grothendieck Pretopologies and Presentations of Tensor Categories	0
2-Cartesian Fibrations I: A Model for $$\infty $$-Bicategories Fibred in $$\infty $$-Bicategories	0