Applied Categorical Structures

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 2022-08-01 to 2026-08-01.)
ArticleCitations
Partial Algebras and Implications of (Weak) Matrix Properties10
A Tangent Category Perspective on Connections in Algebraic Geometry8
Coactions on $$C^*$$-Algebras and Universal Properties7
Diagrammatics for Comodule Monads6
A Categorical Characterization of Quantum Projective $$\mathbb {Z}$$-spaces5
A Characterization of Groupoids in Terms of Their Category of $$\mathcal {C}$$-Sets4
Scott Locales4
Prenormal Categories4
Approximable Triangulated Categories and Reflexive DG-categories4
Bounded complete J-algebraic lattices4
Unbounded Algebraic Derivators3
Free gs-Monoidal Categories and Free Markov Categories3
A DG-Enhancement of $${\text {D}}_{qc}(X)$$ with Applications in Deformation Theory3
On n-unital and n-Mal’tsev categories3
Homotopy Quotients and Comodules of Supercommutative Hopf Algebras3
An Equivalence Between Two Models of $$\infty $$-Categories of Enriched Presheaves3
A Pullback Diagram in the Coarse Category3
Correction to: Ramsey Properties of Products and Pullbacks of Categories and the Grothendieck Construction3
Closed Subcategories of Quotient Categories3
Rectangular Torsion Theories3
Compatible Structures of Nonsymmetric Operads, Manin Products and Koszul Duality3
Length of Fully Faithful Framed Bicategories2
Generalized Multicategories: Change-of-Base, Embedding, and Descent2
Sh(B)-Valued Models of $$(\kappa ,\kappa )$$-Coherent Categories2
Internalizations of Decorated Bicategories via $$\pi _2$$-Indexings2
Descent for internal multicategory functors2
Semantic Factorization and Descent2
Bicategories of Action Groupoids2
A Halmos–von Neumann Theorem for Actions of General Groups2
Maximal Ordered Groupoids and a Galois Correspondence for Inverse Semigroup Orthogonal Actions2
Thomason’s Colimit Theorem for the Double Category of Elements2
Admissibility of Localizations of Crossed Modules2
Why is the Category of Near-Vector Spaces Abelian?2
Homotopical Models for Metric Spaces and Completeness1
On Internal Categories and Crossed Objects in the Category of Monoids1
Operators Between Classes of Modules Given by Preradicals1
Double Categories of Relations Relative to Factorisation Systems1
Discrete Vertices in Simplicial Objects Internal to a Monoidal Category1
On Generalized Morphisms Associated with Endofunctors of $$C^*$$-Algebras1
Compact Hausdorff Locales in Presheaf Toposes1
Presentations of Pseudodistributive Laws1
Simplicial Effects and Weakly Associative Partial Groups1
A Categorical Approach to Additive Combinatorics1
De Vries Powers and Proximity Specker Algebras1
Thomason Cohomology and Quillen’s Theorem A1
A Recognition Criterion for Lax-Idempotent Pseudomonads1
Grothendieck’s Vanishing and Non-vanishing Theorems in an Abstract Module Category1
Double Groupoids and 2-Groupoids in Regular Mal’tsev Categories1
Towards a Unified Theory of Time-Varying Data1
Cartesian Linearly Distributive Categories: Revisited1
Clifford’s Theorem for Orbit Categories1
On String Algebras and the Cohen–Macaulay Auslander Algebras1
Notions of Cauchy Completeness for Normed Categories1
Compactness of the Homotopy Categories of Graded Projective and Injective dg Modules1
The Lattice of Smooth Sublocales as a Bruns–Lakser Completion1
Extension of Topological Groupoids and Hurewicz Morphisms1
What is Connectivity?1
Categorical View of the Partite Lemma in Structural Ramsey Theory1
Involutive Quantales and Quantale-Enriched Involutive Topological Spaces0
Nonexistence of Colimits in Naive Discrete Homotopy Theory0
Abstract Cluster Structures0
Editorial0
Dagger Categories and the Complex Numbers: Axioms for the Category of Finite-Dimensional Hilbert Spaces and Linear Contractions0
From Coextensive Varieties to the Gaeta Topos0
Partialising Institutions0
Rings and Modules in Kan Spectra0
Tensor Enriched Categorical Generalization of the Eilenberg-Watts Theorem0
Homotopy Sheaves on Generalised Spaces0
When is $$\textsf{Cat}(\mathcal {Q})$$ Cartesian Closed?0
Profunctors Between Posets and Alexander Duality0
A Note on the Smash Product and Regular Associativity0
Codescent and Bicolimits of Pseudo-Algebras0
The Commutant and Center of a Generalized Green Functor0
A Bitopological Duality for Some Subordination Boolean Algebras0
Fundamental Category and Face Category of Stellar Complexes0
An Overview of Colax and Virtual Double Categories0
On Vector Spaces with Formal Infinite Sums0
Hardly Groupoids and Internal Categories in Gumm Categories0
Double Categories of Profunctors0
Local Cohen–Macaulay DG-Modules0
Algebraic Dynamical Systems in Machine Learning0
Bi-accessible and Bipresentable 2-Categories0
Diagrammatic Presentations of Enriched Monads and Varieties for a Subcategory of Arities0
Operads, Operadic Categories and the Blob Complex0
Presheaves on Lax Double Functors; Or, Instances of Models of Double Theories0
Higher Catoids, Higher Quantales and their Correspondences0
Doubly Weak Double Categories0
Functorial Polar Functions in Compact Normal Joinfit Frames0
The Operadic Theory of Convexity0
A Topological Duality for Monotone Expansions of Semilattices0
Counting Functions for Random Objects in a Category0
The Representation Theory of Brauer Categories I: Triangular Categories0
Double Categories of Open Systems: The Cospan Approach0
Hopf Monads: A Survey with New Examples and Applications0
A Category of Noncrossing Partitions0
Locally Type $$\text {FP}_{{\varvec{n}}}$$ and $${\varvec{n}}$$-Coherent Categories0
Correction: Presenting Quotient Locales0
Hopf Categories Associated to Comonoidal Functors0
Metric Completions of Triangulated Categories from Finite Dimensional Algebras0
Quotients of Span Categories that are Allegories and the Representation of Regular Categories0
Exponentiable Virtual Double Categories and Presheaves for Double Categories0
Semiseparable Functors and Conditions up to Retracts0
Dualizations of Approximations, $$\aleph _1$$-Projectivity, and Vopěnka’s Principles0
Absolute Colimits0
The Stone Representations for Generalized Continuous Posets0
2-Limits and 2-Terminal Objects are too Different0
Koszul Monoids in Quasi-abelian Categories0
0-Ideal Monad and Its Applications to Approach Spaces0
Universal Finite Functorial Semi-norms0
A Criterion for Categories on Which Every Grothendieck Topology is Rigid0
Deriving Dualities in Pointfree Topology from Priestley Duality0
Differentiable Groupoid Objects and Their Abstract Lie Algebroids0
Some Modifications of Hull Operators in Archimedean Lattice-Ordered Groups with Weak Unit0
Locally Coherent Exact Categories0
Morphisms and Comorphisms of Sites I Double-Categories of Sites0
Idempotent Completions of n-Exangulated Categories0
Simplicial Approach to Frobenius Algebras in the Category of Relations0
A Unified Characterization of Reflective Subcategories of $$\mathcal {Z}$$-closure Spaces0
Associated Sheaf Functors in tt-Geometry0
Yoneda Lemma for Simplicial Spaces0
Non-Abelian Extensions of Groupoids and Their Groupoid Rings0
Homological Lemmas for (Non-abelian) Group-Like Structures by Diagram Chasing in a Self-Dual Context0
2-Cartesian Fibrations I: A Model for $$\infty $$-Bicategories Fibred in $$\infty $$-Bicategories0
Homotopy (Co)limits via Homotopy (Co)ends in General Combinatorial Model Categories0
Trace Decategorification of Categorified Quantum sl(3)0
Fuzzy Simplicial Sets and Their Application to Geometric Data Analysis0
Vopěnka’s Principle, Maximum Deconstructibility, and Singly-Generated Torsion Classes0
Projective Crossed Modules in Semi-abelian Categories0
Generalization of the Dehornoy–Lafont Order Complex to Categories: Application to Exceptional Braid Groups0
Semilattice Base Hierarchy for Frames and Its Topological Ramifications0
A symmetric approach to higher coverings in categorical Galois theory0
Topological Quantum Field Theories and Homotopy Cobordisms0
Monoidal Envelopes of Families of $$\infty $$-Operads and $$\infty $$-Operadic Kan Extensions0
Pervin Spaces and Frith Frames: Bitopological Aspects and Completion0
Choice-Free Duality for Tarski Algebras0
R-Linear Triangulated Categories and Stability Conditions0
Canonical extensions via fitted sublocales0
Continuous Nakayama Representations0
Inner Automorphisms of Presheaves of Groups0
A remark on the total simplicial set functor0
Presenting Quotient Locales0
Equivalence via Surjections0
Lallement Functor is a Weak Right Multiadjoint0
Invertibility and Parity in Symmetric Monoidal Categories0
A Characterisation for the Category of Hilbert Spaces0
Additive Grothendieck Pretopologies and Presentations of Tensor Categories0
Weighted Colimits of 2-Representations and Star Algebras0
Commutative Objects, Central Morphisms and Subtractors in Subtractive Categories0
The Categorical Basis of Dynamical Entropy0
Acyclicity Conditions on Pasting Diagrams0
Higher Auslander’s defect and classifying substructures of $$\varvec{n}$$-exangulated categories0
The Structure of Aisles and Co-aisles of t-Structures and Co-t-structures0
Derived Projective Covers and Koszul Duality of Simple-Minded and Silting Collections0
Lawvere’s Frobenius Reciprocity, the Modular Connections of Grandis and Dilworth’s Abstract Principal Ideals0
A Simplicial Category for Higher Correspondences0
From Gs-monoidal to Oplax Cartesian Categories: Constructions and Functorial Completeness0
A Characterization of Differential Bundles in Tangent Categories0
Triple Delooping for Multiplicative Hyperoperads0
Monadic Aspects of the Ideal Lattice Functor on the Category of Distributive Lattices0
Ramsey Properties of Products and Pullbacks of Categories and the Grothendieck Construction0
A Model Structure on the Category of $$\text{ A}_{\infty }$$-Categories with Strict Morphisms0
Matrix Taxonomy and Bourn Localization0
Unitless Frobenius Quantales0
Presenting the Sierpinski Gasket in Various Categories of Metric Spaces0
Pointless Parts of Completely Regular Frames0
The Differential Bundles of the Geometric Tangent Category of an Operad0
On the Structure of an Internal Groupoid0
Minimal Models of Some Differential Graded Modules0
Closed and Open Maps for Partial Frames0
Morita Equivalence and Morita Duality for Rings with Local Units and the Subcategory of Projective Unitary Modules0
The Krull-Remak-Schmidt-Azumaya Theorem for Idempotent Complete Categories0
On Some Triangulated Categories Over Group Algebras0
Parametrised Presentability Over Orbital Categories0
q-Tensor and Exterior Centers, Related Degrees and Capability0
Enriched Kleisli Objects for Pseudomonads0
The Leibniz PROP is a Crossed Presimplicial Algebra0
Causally Disjoint Discs: Another $$\mathbb {E}_n$$-Operad0
McKinsey-Tarski Algebras and Raney Extensions0
Thomason-Type Model Structures on Simplicial Complexes and Graphs0
Compatible Structures of Operads by Polarization, Their Koszul Duality and Manin Products0
Lifting Independence Along Functors0
Operad Structures on the Species Composition of Two Operads0
Classification of Track (Bi)Categories via Group-Valued 3-Cocycles0
Roos Axiom Holds for Quasi-Coherent Sheaves0
Distributive Laws for Relative Monads0
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