Gluing support tau-tilting object
WebOct 12, 2024 · We then show how one can construct an n -cluster tilting subcategory for Λ by using n -fractured subcategories of A and B. As an application of our construction, we show that if n is odd and d ≥ n then there exists an algebra admitting an n -cluster tilting subcategory and having global dimension d. We show the same result if n is even and d ... http://maths.nju.edu.cn/~huangzy/papers/Frontiers%20of%20Mathematics%20in%20China/G-stable%20support%20tau-tilting%20modules.pdf
Gluing support tau-tilting object
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WebFeb 11, 2024 · A Category of Wide Subcategories. An algebra is said to be $\tau$-tilting finite provided it has only a finite number of $\tau$-rigid objects up to isomorphism. To each such algebra, we associate a category whose objects are the wide subcategories of its category of finite dimensional modules, and whose morphisms are indexed by support … WebAug 12, 2024 · On the other hand, for a basic support \(\tau \)-tilting pair (M, P), M is a \(\tau \)-tilting \(A/\langle e_P\rangle \)-module, where \(e_P\) is the idempotent of A associated to P. The support \(\tau \) -tilting A -modules have close relation with 2-term silting objects in the perfect derived category \({\textsf {per} }\,A\) of A .
WebAug 15, 2015 · τ. -tilting modules over endomorphism algebras of rigid objects. We consider a Krull–Schmidt, Hom-finite, 2-Calabi–Yau triangulated category with a basic rigid object T, and show a bijection between the set of isomorphism classes of basic rigid objects in the finite presented category pr T of T and the set of isomorphism classes of basic ... WebMay 20, 2024 · Gluing support. -tilting modules via symmetric ladders of height 2. Recent result by Adachi-Iyama-Reiten has shown a bijective correspondence between support …
WebG-stable support ˝-tilting modules 1059 In Section 4, we investigate the relationship between G-stable support ˝- tilting -modules and X-stable support ˝-tilting G-modules, … WebAbstract. We study (support) τ -tilting modules over the trivial extensions of finite-dimensional algebras. More precisely, we construct two classes of (support) τ -tilting modules in terms of the adjoint functors which extend and generalize the results on (support) τ -tilting modules over triangular matrix rings given by Gao-Huang.
WebIntroduction Tilting Cluster-tilting ˝-tiltingBibliography Setup isafinite-dimensionalalgebraover k= . mod isthecategoryoffinitelygeneratedleft -modules. gemini accident repair centre townsvilleWebRecent result by Adachi-Iyama-Reiten has shown a bijective correspondence between support $\tau$-tilting modules and functorially finite torsion classes. On the other hand, the techniques of gluing torsion classes along a recollement were investigated by Liu-Vitória-Yang and Ma-Huang. In this article, we show that gluing torsion classes can be … gemini accident repair centre huntingdonWebH. Enomoto, A. Sakai ICE-closed subcategories and wide $\tau$-tilting modules, ( arXiv:2010.05433) In the previous paper, I classified ICE-closed subcategories over hereditary algebras via partial tilting modules. We succeed in generalizing this for any algebras, introducing wide $\tau$-tilting modules, a $\tau$-tilting object in some ... dds national background check unitWebMay 20, 2024 · Gluing support $\tau$-tilting modules via symmetric ladders of height 2. Recent result by Adachi-Iyama-Reiten has shown a bijective correspondence between … gemini 8 the nasa mission reportsWebAug 15, 2015 · On support τ-tilting modules over endomorphism algebras of rigid objects. We consider a Krull–Schmidt, Hom-finite, 2-Calabi–Yau triangulated category with a basic rigid object T, and show a bijection between the set of isomorphism classes of basic rigid objects in the finite presented category pr T of T and the set of isomorphism classes ... ddsn cdss loginWebDefine gluing. gluing synonyms, gluing pronunciation, gluing translation, English dictionary definition of gluing. n. 1. a. A strong liquid adhesive obtained by boiling … gemini accessories - clear cutting plateWebFeb 26, 2024 · Cluster tilting objects in a triangulated category \(\mathcal {C}\) were introduced in [].When \(\mathcal {C}\) is a cluster category or more general, a 2 … dds mount vernon wa