Liu, Yu; Zhou, Panyue; Zhou, Yu; Zhu, Bin Silting reduction in exact categories. (English) Zbl 1537.18008 Algebr. Represent. Theory 27, No. 1, 847-876 (2024). Reviewer: Yonggang Hu (Beijing) MSC: 18E10 18G80 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yaohua; Zhu, Bin Ideal mutations in triangulated categories and generalized Auslander-Reiten theory. (English) Zbl 07804799 J. Algebra 644, 191-221 (2024). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 16G70 18G80 16N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Jixing; Zhu, Bin Silting interval reduction and 0-Auslander extriangulated categories. arXiv:2401.13513 Preprint, arXiv:2401.13513 [math.RT] (2024). MSC: 16G10 18G80 18E40 16S90 × Cite Format Result Cite Full Text: arXiv OA License
Chang, Huimin; Zhu, Bin Ptolemy diagrams and cotorsion pairs in \(m\)-cluster categories of type \(A\). (English) Zbl 1527.18008 J. Algebra Appl. 22, No. 12, Article ID 2350248, 16 p. (2023). Reviewer: Jing He (Changsha) MSC: 18E99 18D99 18G80 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Jixing; Zhang, Yaohua; Zhu, Bin Support \(\tau\)-tilting subcategories in exact categories. (English) Zbl 1533.16017 J. Algebra 636, 455-482 (2023). Reviewer: Piotr Malicki (Toruń) MSC: 16G10 18E40 16S90 18E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Panyue; Zhu, Bin Support \(\tau_n\)-tilting pairs. (English) Zbl 1502.18035 J. Algebra 616, 193-211 (2023). Reviewer: Shengyong Pan (Beijing) MSC: 18G80 18E10 16G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Ming; Zhu, Bin Singularity categories of Gorenstein monomial algebras. (English) Zbl 1461.18011 J. Pure Appl. Algebra 225, No. 8, Article ID 106651, 39 p. (2021). MSC: 18G25 18G80 16G10 × 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
Zhu, Bin; Zhuang, Xiao Tilting subcategories in extriangulated categories. (English) Zbl 1440.18026 Front. Math. China 15, No. 1, 225-253 (2020). Reviewer: Panyue Zhou (Yueyang) MSC: 18G80 16G10 16D90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Panyue; Zhu, Bin Two-term relative cluster tilting subcategories, \(\tau\)-tilting modules and silting subcategories. (English) Zbl 1452.18019 J. Pure Appl. Algebra 224, No. 9, Article ID 106365, 22 p. (2020). Reviewer: Zengqiang Lin (Quanzhou) MSC: 18G80 16G20 16G70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Wuzhong; Zhou, Panyue; Zhu, Bin Triangulated categories with cluster tilting subcategories. (English) Zbl 1454.16020 Pac. J. Math. 301, No. 2, 703-740 (2019). MSC: 16G20 18M05 16G99 16G70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Wen; Zhou, Panyue; Zhu, Bin Cluster subalgebras and cotorsion pairs in Frobenius extriangulated categories. (English) Zbl 1469.16060 Algebr. Represent. Theory 22, No. 5, 1051-1081 (2019). MSC: 16S70 18G80 13F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Huimin; Zhu, Bin Torsion pairs in finite 2-Calabi-Yau triangulated categories with maximal rigid objects. (English) Zbl 1435.18014 Commun. Algebra 47, No. 7, 2810-2832 (2019). Reviewer: Panyue Zhou (Yueyang) MSC: 18G80 18E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Panyue; Zhu, Bin Cluster-tilting subcategories in extriangulated categories. (English) Zbl 1408.18029 Theory Appl. Categ. 34, 221-242 (2019). MSC: 18E30 18E10 × Cite Format Result Cite Review PDF Full Text: Link
Zhou, Panyue; Zhu, Bin \(n\)-abelian quotient categories. (English) Zbl 1470.18020 J. Algebra 527, 264-279 (2019). Reviewer: Payam Bahiraei (Rasht) MSC: 18G80 18E10 16G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Wuzhong; Zhu, Bin Relative cluster tilting objects in triangulated categories. (English) Zbl 1456.16011 Trans. Am. Math. Soc. 371, No. 1, 387-412 (2019). Reviewer: Minghui Zhao (Beijing) MSC: 16G20 16G70 16D20 18G25 18E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Panyue; Zhu, Bin Triangulated quotient categories arising from extriangulated categories. (Chinese. English summary) Zbl 1499.18029 Sci. Sin., Math. 48, No. 11, 1739-1752 (2018). MSC: 18G80 × Cite Format Result Cite Review PDF Full Text: DOI
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
Zhou, Panyue; Zhu, Bin Triangulated quotient categories revisited. (English) Zbl 1388.18014 J. Algebra 502, 196-232 (2018). MSC: 18E10 18E30 18E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Huimin; Zhou, Yu; Zhu, Bin Cotorsion pairs in cluster categories of type \(A_\infty^\infty\). (English) Zbl 1401.18032 J. Comb. Theory, Ser. A 156, 119-141 (2018). MSC: 18E30 16E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Wen; Zhu, Bin On rooted cluster morphisms and cluster structures in 2-Calabi-Yau triangulated categories. (English) Zbl 1397.13030 J. Algebra 458, 387-421 (2016). MSC: 13F60 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Wen; Zhu, Bin Cluster automorphism groups of cluster algebras of finite type. (English) Zbl 1379.16022 J. Algebra 447, 490-515 (2016). Reviewer: Ana Garcia Elsener (Graz) MSC: 16S99 13F20 16S70 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Yu; Zhu, Bin Cluster algebras arising from cluster tubes. (English) Zbl 1336.13013 J. Lond. Math. Soc., II. Ser. 89, No. 3, 703-723 (2014). Reviewer: Robert Marsh (Leeds) MSC: 13F60 16G20 16E35 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Yu; Zhu, Bin \(T\)-structures and torsion pairs in a 2-Calabi-Yau triangulated category. (English) Zbl 1341.18004 J. Lond. Math. Soc., II. Ser. 89, No. 1, 213-234 (2014). MSC: 18E30 16D90 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jie; Zhou, Yu; Zhu, Bin Cotorsion pairs in the cluster category of a marked surface. (English) Zbl 1297.13028 J. Algebra 391, 209-226 (2013). Reviewer: Yu Qiu (Trondheim) MSC: 13F60 16G20 16G70 18E30 57N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yu; Zhu, Bin Triangulated quotient categories. (English) Zbl 1302.18010 Commun. Algebra 41, No. 10, 3720-3738 (2013). Reviewer: Robert Marsh (Leeds) MSC: 18E30 16G20 16G70 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Yu; Zhu, Bin Cotorsion pairs and t-structures in a \(2-\)Calabi-Yau triangulated category. arXiv:1210.6424 Preprint, arXiv:1210.6424 [math.RT] (2012). MSC: 16E99 16D90 18E30 × Cite Format Result Cite Full Text: arXiv OA License
Zhou, Yu; Zhu, Bin Maximal rigid subcategories in 2-Calabi-Yau triangulated categories. (English) Zbl 1248.16013 J. Algebra 348, No. 1, 49-60 (2011). MSC: 16G20 16G60 18E30 16E35 16G70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Bin Cluster-tilted algebras and their intermediate coverings. (English) Zbl 1250.16015 Commun. Algebra 39, No. 7, 2437-2448 (2011). Reviewer: Robert Marsh (Leeds) MSC: 16G20 13F60 16G70 16E35 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Bin Generalized cluster complexes via quiver representations. (English) Zbl 1145.16006 J. Algebr. Comb. 27, No. 1, 35-54 (2008). Reviewer: Grzegorz Bobiński (Toruń) MSC: 16G20 18E30 16E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koenig, Steffen; Zhu, Bin From triangulated categories to abelian categories: cluster tilting in a general framework. (English) Zbl 1133.18005 Math. Z. 258, No. 1, 143-160 (2008). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 18E30 16G20 16G70 16S99 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Bin Preprojective cluster variables of acyclic cluster algebras. (English) Zbl 1133.16016 Commun. Algebra 35, No. 9, 2857-2871 (2007). Reviewer: Robert Marsh (Leeds) MSC: 16G20 16G70 18E30 16S15 16D90 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Bin BGP-reflection functors and cluster combinatorics. (English) Zbl 1127.16014 J. Pure Appl. Algebra 209, No. 2, 497-506 (2007). Reviewer: Robert Marsh (Leeds) MSC: 16G20 16G70 18E30 16D90 52B11 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Bin Applications of BGP-reflection functors: isomorphisms of cluster algebras. (English) Zbl 1106.18008 Sci. China, Ser. A 49, No. 12, 1839-1854 (2006). MSC: 18E30 16D90 18G05 16G20 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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; Zhang, Guanglian; Zhu, Bin BGP-reflection functors in root categories. (English) Zbl 1111.17300 Sci. China, Ser. A 48, No. 8, 1033-1045 (2005). MSC: 17B67 16E60 16G10 18E30 × Cite Format Result Cite Review PDF
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
Zhu, Bin; Caenepeel, S. On good filtration dimensions for standardly stratified algebras. (English) Zbl 1068.16008 Commun. Algebra 32, No. 4, 1603-1614 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16E10 16G20 18G20 16E05 16E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Shugui; Zhu, Bin Finitistic dimensions and good filtration dimensions of stratified algebras. (English) Zbl 1058.16006 Bull. Aust. Math. Soc. 69, No. 2, 341-347 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16E10 16G20 18G20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Bin Relative approximations and Maschke functors. (English) Zbl 1042.16031 Bull. Aust. Math. Soc. 67, No. 2, 219-224 (2003). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16W30 16L60 16G10 18A40 16D90 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Jie; Zhu, Bin Relations for the Grothendieck groups of triangulated categories. (English) Zbl 1021.18004 J. Algebra 257, No. 1, 37-50 (2002). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 18E30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Bin Contravariantly finite subcategories and adjunctions. (English) Zbl 1003.18004 Algebra Colloq. 8, No. 3, 307-314 (2001). Reviewer: Maria Izabel R.Martins (São Paulo) MSC: 18A40 16G10 × Cite Format Result Cite Review PDF