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1. (n +1)-Term (Pre)silting Complexes Related to an n -Cluster Tilting Subcategory NSTL国家科技图书文献中心

Long, Taolue |  Zhang, Xiaoxiang -  《Bulletin of the Malaysian Mathematical Sciences Society》 - 2025,48(3) - 共23页

摘要:-cluster tilting subcategory D, which are called D-(n + 1 | -Calabi-Yau triangulated category with a cluster tilting | ) support r-tilting pairs in mod A and (c) cluster tilting |  category with an Oppermann-Thomas cluster tilting object |  in a 5-angulated cluster category to illustrate our
关键词: Higher homological algebra |  tau n-rigid pairn-rigid pair |  n-rigid object |  (n+2)-angulated category |  D-(n+1)-term (pre)silting complex

2. nZ-cluster tilting subcategories for Nakayama algebras NSTL国家科技图书文献中心

Herschend, Martin |  Kvamme, Sondre... -  《Mathematische Zeitschrift》 - 2025,309(2) - 共40页

摘要: one nZ-cluster tilting subcategory. It has been |  tilting subcategory induces an nZ-cluster tilting | nZ-cluster tilting subcategories are an ideal |  algebras that admit nZ-cluster tilting subcategories | . We give a complete classification of nZ-cluster
关键词: Higher Auslander-Reiten theory |  nZ-cluster tilting subcategory |  Nakayama algebra |  Singularity category

3. Recollements and n -cluster tilting subcategories NSTL国家科技图书文献中心

Long, Taolue |  Zhang, Xiaoxiang... -  《Communications in algebra》 - 2024,52(9/10) - 4046~4058 - 共13页

摘要:-cluster tilting subcategory of D by gluing together n |  tilting subcategory of D can induce n-cluster tilting |  three n-cluster tilting subcategories of triangulated | -cluster tilting subcategories of D'and D" under certain |  tilting subcategories of D and pairs of n-cluster
关键词: Abelian category |  n-cluster tilting subcategory |  recollement |  triangulated category |  TRIANGULATED CATEGORIES |  ALGEBRAS |  PAIRS

4. Higher-dimensional Auslander-Reiten sequences NSTL国家科技图书文献中心

Li, Jiangsha |  He, Jing -  《Czechoslovak Mathematical Journal》 - 2024,74(3) - 771~786 - 共16页

摘要:)-angulated category and X is a cluster tilting subcategory | Zhou and Zhu have shown that if C is an (n+ 2 |  of C, then the quotient category C/X is an n | -abelian category. We show that if C has Auslander-Reiten |  (n+ 2)-angles, then C/X has Auslander-Reitenn-exact
关键词: (n+2)-angulated category |  cluster tilting subcategory |  n-abelian category |  Auslander-Reiten (n+2)-angle |  Auslander-Reiten n-exact sequence |  REPRESENTATION THEORY |  ARTIN ALGEBRAS |  CATEGORIES |  (D+2)-ANGLES |  MUTATION

5. Grothendieck groups of d-exangulated categories and a modified Caldero-Chapoton map NSTL国家科技图书文献中心

Jorgensen, Peter |  Shah, Amit -  《Journal of pure and applied algebra》 - 2024,228(5) - ARTN 107587~ - 共25页 - 被引量:1

摘要:A strong connection between cluster algebras |  cluster category. Cluster characters, like the original |  categories to cluster algebras and they have generated much |  construction, a quotient Ksp subcategory T is used. In this | , where X is functorially finite and T is 2d-cluster
关键词: Caldero-Chapoton map |  Grothendieck group |  Index |  n-cluster tilting subcategory |  n-exangulated category |  Rigid subcategory |  CLUSTER ALGEBRAS |  TRIANGULATED CATEGORIES |  TILTING THEORY |  POTENTIALS...

6. The radical of functorially finite subcategories NSTL国家科技图书文献中心

Diyanatnezhad, Raziy... |  Nasr-Isfahani, Alire... -  《Journal of Algebra》 - 2024,657 - 675~703 - 共29页

摘要: functorially finite subcategory of mod Lambda which contains | Let Lambda be an artin algebra and C be a |  Lambda or D Lambda. We use the concept of the infinite |  radical of C and show that C has an additive generator |  if and only if rad infinity C vanishes. In this
关键词: Irreducible morphism |  Jacobson radical |  Functorially finite subcategory |  Gorenstein projective module |  n-cluster tilting subcategory

7. The Grothendieck groups of m-cluster categories of type D_n NSTL国家科技图书文献中心

Huimin Chang |  Xiao Zhuang -  《Communications in algebra》 - 2024,52(7/8) - 3181~3193 - 共13页

摘要:(D_n)~m, when m is odd, via the m-cluster tilting |  ofm-cluster categories of type D_n, denoted by C_ |  Grothendieck groups of cluster categories of type D_n. | In this paper,we study theGrothendieck groups |  subcategories of C_(D_n)~m. When m = 1, we generalize the work
关键词: Grothendieck group |  m-cluster category of type Dn |  m-cluster tilting subcategory

8. Localization of Triangulated Categories with Respect to Extension-Closed Subcategories NSTL国家科技图书文献中心

Ogawa, Yasuaki -  《Algebras and representation theory》 - 2024,27(3) - 1603~1640 - 共38页 - 被引量:1

摘要: and the abelian quotient of C by a cluster-tilting |  subcategory N of C, we construct a natural extriangulated |  subcategory N is thick if and only if the localization (C |  subcategory N. | The aim of this paper is to develop a
关键词: Verdier localization |  Triangulated category |  Extriangulated category |  t-structure |  Cotorsion pair |  MODULE CATEGORIES |  PAIRS

9. A resolution theorem for extriangulated categories with applications to the index NSTL国家科技图书文献中心

Ogawa, Yasuaki |  Shah, Amit -  《Journal of Algebra》 - 2024,658 - 450~485 - 共36页

摘要: extriangulated structure C R X on C when X is n-cluster tilting |  Resolution Theorem, we show that if X is n-cluster tilting |  subcategory N of a triangulated category C and we prove an |  subcategory X defined by J & oslash;rgensen and the second | Quillen's Resolution Theorem in algebraic K
关键词: Extriangulated category |  Grothendieck group |  Index |  Localization |  Relative theory |  Resolution |  Triangulated category

10. The Index With Respect to a Rigid Subcategory of a Triangulated Category NSTL国家科技图书文献中心

Jorgensen, Peter |  Shah, Amit -  《International mathematics research notices: IMRN》 - 2024,2024(4) - 3278~3309 - 共32页

摘要: cluster tilting object in a suitable triangulated | -Chapoton map that exhibits the connection between cluster |  contravariantly finite, rigid subcategory, and we show this | , rigid subcategory of C. We define the index ind(X)(C |  subcategory T of C, there is a surjection Q: K-0(C,E-T,s(T
关键词: TWIN COTORSION PAIRS |  CALDERO-CHAPOTON MAP |  CLUSTER ALGEBRAS |  MODULE CATEGORIES |  POTENTIALS |  QUIVERS |  HEARTS
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