Gluing support tau-tilting object
WebFeb 15, 2024 · We introduce the higher version of Adachi-Iyama-Reiten's support τ-tilting pairs, which are regarded as a generalization of maximal τ n-rigid pairs in the sense of Jacobsen-Jørgensen.Assume that C is an (n + 2)-angulated category with an n-suspension functor Σ n and T is an Opperman-Thomas cluster tilting object. We prove that relative … WebAug 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 ...
Gluing support tau-tilting object
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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 … WebMay 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 …
WebPerson as author : Pontier, L. In : Methodology of plant eco-physiology: proceedings of the Montpellier Symposium, p. 77-82, illus. Language : French Year of publication : 1965. book part. METHODOLOGY OF PLANT ECO-PHYSIOLOGY Proceedings of the Montpellier Symposium Edited by F. E. ECKARDT MÉTHODOLOGIE DE L'ÉCO- PHYSIOLOGIE … WebMay 1, 2024 · Recent result by Adachi-Iyama-Reiten has shown a bijective correspondence between support $\tau$-tilting modules and functorially finite torsion classes. On the …
WebGlueing is a spelling variant of the same word, but it is an incorrect variant. Glueing is not the accepted spelling of this word in either American or British English. For reference, … 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 ...
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, …
WebWe succeed in generalizing this for any algebras, introducing wide $\tau$-tilting modules, a $\tau$-tilting object in some functorially finite wide subcategory. To achieve this, we study ICE-closed subcategories via the hearts of intervals in the lattice of torsion classes (we borrow the word heart from the Tattar’s paper, and is used in ... rickey smiley first wifeWebJul 3, 2024 · Abstract. 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 $\tau$ -tilting pairs. rickey smiley gary with da teaWebMay 20, 2024 · of gluing support τ-tilting mo dules can be given more explicitly when the focus is on functorially finite torsion classes in symmetric ladders of height 2 rather than … rickey smiley in meridian msWebRecent 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 … red shots alcoholWebLet $(\mbox{mod} \Lambda',\mbox{mod} \Lambda,\mbox{mod} \Lambda")$ be a recollement of abelian categories for artin algebras $\Lambda'$, $\Lambda$ and $\Lambda"$. Under … reds hot stove league audioWebAug 13, 2015 · The tubular tire is made from a tire casing that is then sewn around an inner tube. The stitching is covered with a strip of cloth called "base tape". The tubular is then … red shots cheetosWebOct 3, 2012 · The aim of this paper is to introduce tau-tilting theory, which completes (classical) tilting theory from the viewpoint of mutation. It is well-known in tilting theory that an almost complete tilting module for any finite dimensional algebra over a field k is a direct summand of exactly 1 or 2 tilting modules. An important property in cluster tilting … rickey smiley grandchildren