Results 21 to 30 of about 165,958,425 (294)
Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras
Advances in Mathematical Physics, 2020 In this paper, we introduce the Hom-algebra setting of the notions of matching Rota-Baxter algebras, matching (tri)dendriform algebras, and matching pre-Lie algebras.
Dan Chen +3 more
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No-go theorems for functorial localic spectra of noncommutative rings [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 Any functor from the category of C*-algebras to the category of locales that assigns to each commutative C*-algebra its Gelfand spectrum must be trivial on algebras of nxn-matrices for n at least 3. The same obstruction applies to the Zariski, Stone, and
Benno van den Berg, Chris Heunen
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The symplectic geometry of higher Auslander algebras: Symmetric products of disks
Forum of Mathematics, Sigma, 2021 We show that the perfect derived categories of Iyama’s d-dimensional Auslander algebras of type ${\mathbb {A}}$ are equivalent to the partially wrapped Fukaya categories of the d-fold symmetric product of the $2$-dimensional unit disk with finitely many ...
Tobias Dyckerhoff +2 more
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Lifting Coalgebra Modalities and $\mathsf{MELL}$ Model Structure to Eilenberg-Moore Categories [PDF]
Logical Methods in Computer Science, 2019 A categorical model of the multiplicative and exponential fragments of intuitionistic linear logic ($\mathsf{MELL}$), known as a \emph{linear category}, is a symmetric monoidal closed category with a monoidal coalgebra modality (also known as a linear ...
Jean-Simon Pacaud Lemay
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Mathematics in Computer Science, 2019 Abstract We study a new (large) class of algebras (that was introduced in Bavula in Math Comput Sci 11(3–4):253–268, 2017)—the skew category algebras. Any such an algebra $$ \mathcal{C}(\sigma )$$C(σ) is constructed from a category $$ \mathcal{C}$$C and a functor $$\sigma $$σ from the category $$ \mathcal{C}$$C to the category of algebras. Criteria are
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Symmetric pairs and pseudosymmetry of Θ-Yetter-Drinfeld categories for Hom-Hopf algebras
Open Mathematics, 2021 In this paper, we investigate a more general category of Θ\Theta -Yetter-Drinfeld modules (Θ∈AutH(H)\Theta \in {\rm{Aut}}\hspace{0.33em}H\left(H)) over a Hom-Hopf algebra, which unifies two different definitions of Hom-Yetter-Drinfeld category introduced
Liu Wei, Fang Xiaoli
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The Spectrum of the Singularity Category of a Category Algebra [PDF]
Applied Categorical Structures, 2019 Let $\C$ be a finite projective EI category and $k$ be a field. The singularity category of the category algebra $k\C$ is a tensor triangulated category. We compute its spectrum in the sense of Balmer.
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The Fusion Algebra of Bimodule Categories [PDF]
Applied Categorical Structures, 2007 We establish an algebra-isomorphism between the complexified Grothendieck ring F of certain bimodule categories over a modular tensor category and the endomorphism algebra of appropriate morphism spaces of those bimodule categories. This provides a purely categorical proof of a conjecture by Ostrik concerning the structure of F.
Jürgen Fuchs +2 more
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Theory and Applications of Categories, 2023 Summary: The category \(\mathbf{LAlg}\) of \(L\)-algebras is shown to be complete and cocomplete, regular with a zero object and a projective generator, normal and subtractive, ideal determined, but not Barr-exact. Originating from algebraic logic, \(L\)-algebras arise in the theory of Garside groups, measure theory, functional analysis, and operator ...
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Singularity categories of GLS-algebras
四川大学学报. 自然科学版, 2021 Let $H$ be a GLS-algebra and $D_{sg}({\rm{mod}}^{\mathbb{Z}} H)$ be the singularity category of finite-dimensional $\Z$-graded $H$-modules. In this paper we prove that $D_{sg}({\rm{mod}}^{\mathbb{Z}} H)$ admits a tilting object $T$, and therefore $D_{sg}(
JIANG Xi-Wei
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