Chang, Huimin; Zhuang, Xiao The Grothendieck groups of \(m\)-cluster categories of type \(D_n\). (English) Zbl 07870853 Commun. Algebra 52, No. 8, 3181-3193 (2024). Reviewer: Jing He (Changsha) MSC: 18E99 18D99 18G80 × Cite Format Result Cite Review PDF Full Text: DOI
Padrol, Arnau; Palu, Yann; Pilaud, Vincent; Plamondon, Pierre-Guy Associahedra for finite-type cluster algebras and minimal relations between \(g\)-vectors. (English) Zbl 1528.13023 Proc. Lond. Math. Soc. (3) 127, No. 3, 513-588 (2023). Reviewer: Udhayakumar Ramalingam (Vellore) MSC: 13F60 16G20 18E10 18G80 52B11 52B35 05E16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Benson, Dave; Greenlees, John The singularity and cosingularity categories of \(C^{\ast}BG\) for groups with cyclic Sylow \(p\)-subgroups. (English) Zbl 1523.20093 Algebr. Represent. Theory 26, No. 4, 1181-1216 (2023). Reviewer: Mahender Singh (S.A.S. Nagar) MSC: 20J06 16E45 16G70 55P35 55P60 55S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Zheng, Qilian; Wei, Jiaqun; Wu, Kaili Auslander-Reiten \(n\)-exangles and morphisms determined by objects in \(n\)-exangulated categories. (English) Zbl 1524.18018 Commun. Algebra 51, No. 10, 4427-4453 (2023). Reviewer: Edmund Heng (Bures-sur-Yvette) MSC: 18E10 16G70 18E20 × Cite Format Result Cite Review PDF Full Text: DOI
Haugland, Johanne Auslander-Reiten triangles and Grothendieck groups of triangulated categories. (English) Zbl 1520.18014 Algebr. Represent. Theory 25, No. 6, 1379-1387 (2022). MSC: 18G80 18F30 18E10 16G70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Xie, Zongyang; Lu, Bo; Wang, Li Existence of \(n\)-Auslander-Reiten sequences via a finiteness condition. (English) Zbl 1504.18013 Commun. Algebra 50, No. 2, 699-713 (2022). Reviewer: Zengqiang Lin (Quanzhou) MSC: 18G80 16G70 × Cite Format Result Cite Review PDF Full Text: DOI
Fedele, Francesca Grothendieck groups of triangulated categories via cluster tilting subcategories. (English) Zbl 1500.16010 Nagoya Math. J. 244, 204-231 (2021). Reviewer: Bin Zhu (Beijing) MSC: 16E20 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Panyue On the existence of Auslander-Reiten \((d+2)\)-angles in \((d+2)\)-angulated categories. (English) Zbl 1482.18008 Taiwanese J. Math. 25, No. 2, 233-249 (2021). Reviewer: Zengqiang Lin (Quanzhou) MSC: 18G80 16G70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Bin; Zhuang, Xiao Grothendieck groups in extriangulated categories. (English) Zbl 1462.18003 J. Algebra 574, 206-232 (2021). Reviewer: Panyue Zhou (Yueyang) MSC: 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Panyue Grothendieck groups and Auslander-Reiten \((d + 2)\)-angles. (English) Zbl 1476.16014 J. Algebra 568, 512-528 (2021). Reviewer: José Vélez-Marulanda (Valdosta) MSC: 16G70 13D15 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Yu; Zhu, Bin Mutation of torsion pairs in triangulated categories and its geometric realization. (English) Zbl 1405.18027 Algebr. Represent. Theory 21, No. 4, 817-832 (2018). Reviewer: Blas Torrecillas (Almeria) MSC: 18G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Zhe A note on generic objects and locally finite triangulated categories. (English) Zbl 1375.16007 Appl. Categ. Struct. 24, No. 6, 875-884 (2016). MSC: 16E35 16D50 16G10 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Diveris, Kosmas; Purin, Marju; Webb, Peter Combinatorial restrictions on the tree class of the Auslander-Reiten quiver of a triangulated category. (English) Zbl 1380.18001 Math. Z. 282, No. 1-2, 405-410 (2016). Reviewer: Xueqing Chen (Whitewater) MSC: 18E30 16G70 16E35 13F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amiot, Claire Cluster categories for algebras of global dimension 2 and quivers with potential. (English) Zbl 1239.16011 Ann. Inst. Fourier 59, No. 6, 2525-2590 (2009). MSC: 16E35 16G20 18E30 13F60 16E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
van Roosmalen, Adam-Christiaan Classification of Abelian hereditary directed categories satisfying Serre duality. (English) Zbl 1155.16018 Trans. Am. Math. Soc. 360, No. 5, 2467-2503 (2008). Reviewer: Justyna Kosakowska (Toruń) MSC: 16G20 16G70 18E10 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amiot, Claire On the structure of triangulated categories with finitely many indecomposables. (English) Zbl 1158.18005 Bull. Soc. Math. Fr. 135, No. 3, 435-474 (2007). Reviewer: Intan Muchtadi-Alamsyah (Bandung) MSC: 18E30 16G70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhu, Bin Equivalences between cluster categories. (English) Zbl 1106.18007 J. Algebra 304, No. 2, 832-850 (2006). MSC: 18E10 16E30 18E30 16G20 16D90 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Jie; Zhu, Bin Locally finite triangulated categories. (English) Zbl 1110.16013 J. Algebra 290, No. 2, 473-490 (2005). MSC: 16G70 18E30 16G20 × Cite Format Result Cite Review PDF Full Text: DOI