Results 31 to 40 of about 198 (75)
Semi-abelian categories arising from pseudo cluster tilting subcategories
, 2023 The notion of a pseudo cluster tilting subcategory $\mathcal X$ in an extriangulated category $\mathcal C$ is defined in this article. We prove that the quotient category $\mathcal C/\mathcal X$, obtained by factoring an extriangulated category by a ...
He, Jian, He, Jing
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Self-injective algebras under derived equivalences
, 2023 The Nakayama permutations of two derived equivalent, self-injective Artin algebras are conjugate. A different but elementary approach is given to showing that the weak symmetry and self-injectivity of finite-dimensional algebras over an arbitrary field ...
Xi, Changchang, Zhang, Jin
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Descent conditions for generation in derived categories
, 2023 This work establishes a criterion that determines when strong generation within the bounded derived category of a Noetherian scheme is preserved under the derived pushforward of a proper morphism.
Lank, Pat
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New invariants of stable equivalences of algebras
, 2022 We show that the Auslander-Reiten conjecture on stable equivalences holds true for principal centralizer algebras of matrices over an algebraically closed field, and that delooping levels and $\phi$-dimensions are invariants of stable equivalences of ...
Xi, Changchang, Zhang, Jinbi
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Hearts of twin cotorsion pairs revisited: integral and abelian hearts
, 2023 Hearts of twin cotorsion pairs are shown to be quasi-abelian. But they are not always integral. In this article, we provide a sufficient and necessary condition for the hearts of twin cotorsion pairs being integral (resp.
Liu, Yu, Zhou, Panyue
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The Auslander-Reiten quiver of perfect complexes for a self-injective algebra
, 2023 We consider the homotopy category of perfect complexes for a finite dimensional self-injective algebra over a field, identifying many aspects of perfect complexes according to their position in the Auslander-Reiten quiver.
Webb, Peter
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, 2023 We modify the axioms of triangulated categories to include both higher triangles and distinguished maps of higher triangles. The distinguished maps are specializations of Neeman's ``good'' maps of $2$-triangles.
Alzubaidi, Husniyah, Maciocia, Antony
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Liftings of point-wise finite dimensional persistence modules over local commutative Artinian rings
Let $\mathbf{k}$ be a field and let $V: \mathscr{C} \to \mathbf{k}\textup{-Mod}$ be a point-wise finite dimensional persistence modules, where $\mathscr{C}$ is a small category.
Vélez-Marulanda, José A.
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The index with respect to a contravariantly finite subcategory
The index in triangulated categories plays a key role in the categorification of cluster algebras; specifically, it categorifies the notion of $g$-vectors.
Fedele, Francesca +2 more
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Frobenius functors and Gorenstein homological properties
, 2020 We prove that any faithful Frobenius functor between abelian categories preserves the Gorenstein projective dimension of objects. Consequently, it preserves and reflects Gorenstein projective objects.
Chen, Xiao-Wu, Ren, Wei
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