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Category Theory

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Total of 31 entries
Showing up to 50 entries per page: fewer | more | all

Fri, 16 Oct 2026 (showing 3 of 3 entries )

[1] arXiv:2610.22161 (cross-list from math.AG) [pdf, html, other]
Title: Gluing weak approximability along recollements
Pat Lank
Comments: v1, comments welcome!
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Category Theory (math.CT); Representation Theory (math.RT)
[2] arXiv:2610.21507 (cross-list from math.RT) [pdf, html, other]
Title: A Krause-type recollement for Q-shaped derived categories
Yajun Ma, Peiru Yang
Comments: 27 pages
Subjects: Representation Theory (math.RT); Category Theory (math.CT); Rings and Algebras (math.RA)
[3] arXiv:2610.20956 (cross-list from math.LO) [pdf, html, other]
Title: Duality Theory for Sequent Algebras
Sergio A. Celani, William Zuluaga
Subjects: Logic (math.LO); Category Theory (math.CT)

Thu, 15 Oct 2026 (showing 3 of 3 entries )

[4] arXiv:2610.20386 [pdf, html, other]
Title: The Kaplansky-Walker Lemma for additive categories
Simion Breaz, Cristian Rafiliu
Subjects: Category Theory (math.CT)
[5] arXiv:2610.20428 (cross-list from math.AT) [pdf, html, other]
Title: The classical homotopy category is cartesian closed
Zhen Lin Low
Subjects: Algebraic Topology (math.AT); Category Theory (math.CT)
[6] arXiv:2610.19355 (cross-list from math.GT) [pdf, html, other]
Title: Two non-semisimple quantum invariants of lens spaces
Rhea Palak Bakshi, Mitchell Jubeir, Quinn T. Kolt
Comments: 29 pages, 13 figures, comments welcome
Subjects: Geometric Topology (math.GT); Category Theory (math.CT); Quantum Algebra (math.QA)

Wed, 14 Oct 2026 (showing 18 of 18 entries )

[7] arXiv:2610.18302 [pdf, other]
Title: Actions in varieties of non-associative algebras: a survey
Manuel Mancini
Subjects: Category Theory (math.CT); Rings and Algebras (math.RA)
[8] arXiv:2610.17525 [pdf, html, other]
Title: Monoidal structure on Rota-Baxter algebras via augmentation, and free cocycle bialgebras
Li Guo, Yunzhou Xie, Yi Zhang
Comments: 27 pages
Subjects: Category Theory (math.CT); Combinatorics (math.CO); Quantum Algebra (math.QA)
[9] arXiv:2610.17389 [pdf, html, other]
Title: A characterization of central extensions relative to n-nilpotent objects
Marino Gran, James R. A. Gray
Comments: 19 pages
Subjects: Category Theory (math.CT); Group Theory (math.GR); Rings and Algebras (math.RA)
[10] arXiv:2610.17388 [pdf, other]
Title: Hanslick's Musical Formalism as a Mathematical Structure - Examining meaning in Music through the Lens of Category Theory
Ilyas Khan
Subjects: Category Theory (math.CT)
[11] arXiv:2610.17311 [pdf, html, other]
Title: Models for dagger $(\infty,1)$-categories III: Univalent flagged dagger $(\infty,1)$-categories and unitarily complete dagger Segal anima
Keima Akasaka
Comments: 34 pages. Comments welcome!
Subjects: Category Theory (math.CT); Mathematical Physics (math-ph); Algebraic Topology (math.AT)
[12] arXiv:2610.16541 [pdf, html, other]
Title: Spectra and Support Theory for Wide Subcategories in $n$-Abelian Categories
Zheng Xin
Comments: 20 pages
Subjects: Category Theory (math.CT); Rings and Algebras (math.RA); Representation Theory (math.RT)
[13] arXiv:2610.15347 [pdf, html, other]
Title: A categorical approach to the set-theoretic Yang-Baxter equation
A.L. Agore, A. Chirvasitu, G. Militaru
Comments: Some of the results in this paper were included in the preprint arXiv:2305.14138v1, which is not intended for publication and will remain available only on arXiv; 22 pages
Subjects: Category Theory (math.CT); Quantum Algebra (math.QA); Rings and Algebras (math.RA)
[14] arXiv:2610.14931 [pdf, html, other]
Title: Local coherence and recollement of abelian categories
Mikhail Dusman, Alexander Pavlov
Subjects: Category Theory (math.CT); Commutative Algebra (math.AC); Rings and Algebras (math.RA)
[15] arXiv:2610.14874 [pdf, html, other]
Title: A smooth non-compactly generated category
Alexander Frolov
Subjects: Category Theory (math.CT); Algebraic Geometry (math.AG); Rings and Algebras (math.RA)
[16] arXiv:2610.14420 [pdf, html, other]
Title: Flat and Ghost dimensions in tensor triangulated categories with a compact tilting generator
Xiaoyan Yang
Subjects: Category Theory (math.CT)
[17] arXiv:2610.17769 (cross-list from math.QA) [pdf, html, other]
Title: Quandles with isomorphic representation categories
Mohamad Maassarani
Comments: 3 pages
Subjects: Quantum Algebra (math.QA); Category Theory (math.CT); Group Theory (math.GR); Representation Theory (math.RT)
[18] arXiv:2610.17646 (cross-list from math.RT) [pdf, html, other]
Title: A subcategory with remarkable homological properties via actions of tensor categories
Kevin Coulembier, Edmund Heng
Comments: Comments more than welcomed!
Subjects: Representation Theory (math.RT); Category Theory (math.CT); Quantum Algebra (math.QA)
[19] arXiv:2610.16454 (cross-list from math.PR) [pdf, html, other]
Title: Axioms and internal rigidity of spectral duality structures
Juan Antonio Vega Coso
Comments: 19 pages, 1 figure
Subjects: Probability (math.PR); Category Theory (math.CT); Rings and Algebras (math.RA)
[20] arXiv:2610.16376 (cross-list from cs.FL) [pdf, html, other]
Title: Track objects in cubical presheaf automata
Georg Struth, Krzysztof Ziemiański
Subjects: Formal Languages and Automata Theory (cs.FL); Category Theory (math.CT)
[21] arXiv:2610.16241 (cross-list from math.GR) [pdf, html, other]
Title: A non-nilpotent localization of a finite p-group
Sergei O. Ivanov, Georgii Kadantsev
Subjects: Group Theory (math.GR); Category Theory (math.CT)
[22] arXiv:2610.15080 (cross-list from math.LO) [pdf, html, other]
Title: Internal Languages for Thin Epsilon-Hyperdoctrines: Soundness, Completeness, and Rocq Formalization
Zoltán Gábor Molnár, Csaba Tóth
Comments: 41 pages, 1 figure. Rocq formalization: this https URL
Subjects: Logic (math.LO); Logic in Computer Science (cs.LO); Category Theory (math.CT)
[23] arXiv:2610.15006 (cross-list from math.PR) [pdf, html, other]
Title: DisCo Algebra: Why Disintegration and Combination Are Not Inverses
Xuexing Lu
Comments: 8 pages
Subjects: Probability (math.PR); Machine Learning (cs.LG); Mathematical Physics (math-ph); Category Theory (math.CT); Statistics Theory (math.ST)
[24] arXiv:2610.14165 (cross-list from math-ph) [pdf, html, other]
Title: Categorifying Quantum Spin Systems
Matthew Yu
Comments: 38 pages, comments welcome
Subjects: Mathematical Physics (math-ph); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Category Theory (math.CT); Quantum Physics (quant-ph)

Mon, 12 Oct 2026 (showing 2 of 2 entries )

[25] arXiv:2610.13933 (cross-list from math.QA) [pdf, html, other]
Title: The Haagerup VOA at $c=8$
Andrew Riesen
Comments: Initial announcement. A full manuscript with complete details is forthcoming and will replace this announcement. The working manuscript and certificates are available at this https URL . AI was used extensively in the discovery, and the author welcomes community feedback on the presentation and appropriate attribution
Subjects: Quantum Algebra (math.QA); Category Theory (math.CT)
[26] arXiv:2610.13803 (cross-list from math.AT) [pdf, html, other]
Title: The (right) homotopy between two A$_{\infty}$-morphisms
Mattia Ornaghi
Comments: 20 pages; comments are very welcome
Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG); Category Theory (math.CT)

Fri, 9 Oct 2026 (showing 5 of 5 entries )

[27] arXiv:2610.12079 [pdf, html, other]
Title: Fiber product of condensable algebras and critical points of boundary phase transitions
Hanlin Lin, Hao Zheng
Subjects: Category Theory (math.CT); Mathematical Physics (math-ph); Quantum Algebra (math.QA)
[28] arXiv:2610.11979 [pdf, html, other]
Title: Tensor triangular geometry of band algebras
Peng Xu
Subjects: Category Theory (math.CT)
[29] arXiv:2610.11497 [pdf, html, other]
Title: Universal Semisimple Reconstruction and Obstruction Theory
Joe Gildea
Comments: 16 pages
Subjects: Category Theory (math.CT)
[30] arXiv:2610.10930 [pdf, html, other]
Title: Inter-Categorical Subobject Analysis
Alexander Prähauser
Comments: 127 pages, 41 figures, part of my Ph.D. thesis
Subjects: Category Theory (math.CT); General Topology (math.GN)
[31] arXiv:2610.11576 (cross-list from math.AT) [pdf, html, other]
Title: A Note on n-Representations of Simplicial Groups
Zhangqi Pan
Comments: 37 pages
Subjects: Algebraic Topology (math.AT); Category Theory (math.CT)
Total of 31 entries
Showing up to 50 entries per page: fewer | more | all