Advanced search
Publication Cover
Communications in Algebra Volume 22, 1994 - Issue 12
Submit an article Journal homepage
159
Views
49
CrossRef citations to date
0
Altmetric
Miscellany

Left triangulated categories arising from contravariantly finite subcategories

Apostolos Beligiannis Department of Mathematics, University of Ioannina, loannina, 45110, Greece
&
Nikolaos Marmaridis Department of Mathematics, University of Ioannina, loannina, 45110, Greece
Pages 5021-5036 | Received 01 Sep 1993, Published online: 27 Jun 2007

Citations (49)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (14)

Qilian Zheng, Weiqing Cao & Jiaqun Wei. (2022) Quotient categories of extriangulated categories. Communications in Algebra 50:1, pages 364-382.
Read now
Zhi-Wei Li. (2021) Homotopy theory in additive categories with suspensions. Communications in Algebra 49:12, pages 5137-5170.
Read now
Panyue Zhou. (2018) A right triangulated version of Gentle-Todorov’s theorem. Communications in Algebra 46:1, pages 82-89.
Read now
Zengqiang Lin. (2017) Right n-angulated categories arising from covariantly finite subcategories. Communications in Algebra 45:2, pages 828-840.
Read now
Jinde Xu, Panyue Zhou & Baiyu Ouyang. (2016) Mutation Pairs in Abelian Categories. Communications in Algebra 44:7, pages 2732-2746.
Read now
Jinde Xu, Panyue Zhou & Baiyu Ouyang. (2015) Subfactor Categories of Triangulated Categories. Communications in Algebra 43:12, pages 5168-5182.
Read now
Zhi-Wei Li. (2015) The Left and Right Triangulated Structures of Stable Categories. Communications in Algebra 43:9, pages 3725-3753.
Read now
Panyue Zhou, Jinde Xu & Baiyu Ouyang. (2015) Torsion Pairs in Stable Categories. Communications in Algebra 43:8, pages 3498-3514.
Read now
Yu Liu & Bin Zhu. (2013) Triangulated Quotient Categories. Communications in Algebra 41:10, pages 3720-3738.
Read now
David Pauksztello. (2012) A Note on Compactly Generated Co-t-Structures. Communications in Algebra 40:2, pages 386-394.
Read now
Apostolos Beligiannis. (2002) STABLE EQUIVALENCES AND STABLE GROTHENDIECK GROUPS. Communications in Algebra 30:1, pages 205-236.
Read now
Apostolos Beligiannis. (2000) The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization. Communications in Algebra 28:10, pages 4547-4596.
Read now
Apostolos Beligiannis & Nikolaos Marmaridis. (1996) Grothendieck groups arising from contravariantly finite subcategories. Communications in Algebra 24:14, pages 4415-4438.
Read now
Apostolos Beligiannis & Nikolaos Marmaridis. (1996) Grothendieck groups arising from contravariantly finite subcategories. Communications in Algebra 24:14, pages 4415-4438.
Read now

Articles from other publishers (35)

Aran Tattar. (2024) The Structure of Aisles and Co-aisles of t-Structures and Co-t-structures. Applied Categorical Structures 32:1.
Crossref
Yajun Ma, Dandan Sun, Rongmin Zhu & Jiangsheng Hu. (2023) Recollements Induced by Left Frobenius Pairs. Bulletin of the Malaysian Mathematical Sciences Society 47:1.
Crossref
Yongyun Qin & Dawei Shen. (2023) Eventually homological isomorphisms and Gorenstein projective modules. Science China Mathematics.
Crossref
Manuel Cortés-Izurdiaga, Septimiu Crivei & Manuel Saorín. (2023) Reflective and coreflective subcategories. Journal of Pure and Applied Algebra 227:5, pages 107267.
Crossref
Li Wang, Jiaqun Wei, Haicheng Zhang & Tiwei Zhao. (2022) Idempotent completion of extriangulated categories. Journal of Algebra and Its Applications 22:04.
Crossref
Jing He, Panyue Zhou & Xingjia Zhou. (2023) Pre-(n + 2)-angulated categories. Journal of Algebra 620, pages 452-477.
Crossref
Xu QingBing, Yang Liu, Mohammad Munir & Ayoub Youssefi. (2022) Notes on Relative Extension Functors. Journal of Mathematics 2022, pages 1-8.
Crossref
Yuxia Mei, Jiaqun Wei & Qilian Zheng. (2021) $$\xi $$-Phantom Maps in $$(n+2)$$-Angulated Categories. Bulletin of the Iranian Mathematical Society 48:4, pages 1927-1944.
Crossref
Abdolnaser Bahlekeh, Shokrollah Salarian, Ryo Takahashi & Zahra Toosi. (2021) Spanier–Whitehead Categories of Resolving Subcategories and Comparison with Singularity Categories. Algebras and Representation Theory 25:3, pages 595-613.
Crossref
Li Liang & Gang Yang. (2022) Constructions of Frobenius Pairs in Abelian Categories. Mediterranean Journal of Mathematics 19:2.
Crossref
Paul Balmer & Greg Stevenson. (2021) Relative stable categories and birationality. Journal of the London Mathematical Society 104:4, pages 1765-1794.
Crossref
Martin Kalck. (2021) A new equivalence between singularity categories of commutative algebras. Advances in Mathematics 390, pages 107913.
Crossref
Sondre Kvamme. (2020) $$d\mathbb {Z}$$-Cluster tilting subcategories of singularity categories. Mathematische Zeitschrift 297:1-2, pages 803-825.
Crossref
Juan Camilo Arias. (2020) Derived counterparts of fusion categories of quantum groups. Journal of Algebra 562, pages 257-285.
Crossref
Biao Ma & Julia Sauter. (2020) On faithfully balanced modules, F-cotilting and F-Auslander algebras. Journal of Algebra 556, pages 1115-1164.
Crossref
Panyue Zhou. (2020) A note on abelian quotient categories. Journal of Algebra 551, pages 1-8.
Crossref
Qilian Zheng & Jiaqun Wei. (2019) (n + 2)-Angulated Quotient Categories. Algebra Colloquium 26:04, pages 689-720.
Crossref
Jing He & Panyue Zhou. (2019) Abelian quotients of extriangulated categories. Proceedings - Mathematical Sciences 129:4.
Crossref
Xiao-Wu Chen. (2018) The singularity category of a quadratic monomial algebra*. The Quarterly Journal of Mathematics 69:3, pages 1015-1033.
Crossref
Panyue Zhou & Bin Zhu. (2018) Triangulated quotient categories revisited. Journal of Algebra 502, pages 196-232.
Crossref
Javad Asadollahi, Rasool Hafezi & Razieh Vahed. (2015) On the Recollements of Functor Categories. Applied Categorical Structures 24:4, pages 331-371.
Crossref
Zhengfang Wang. (2015) Triangle Order ≤△ in Singular Categories. Algebras and Representation Theory 19:2, pages 397-404.
Crossref
Apostolos Beligiannis. (2015) Relative homology, higher cluster-tilting theory and categorified Auslander–Iyama correspondence. Journal of Algebra 444, pages 367-503.
Crossref
Zengqiang Lin & Yang Zhang. (2015) Subquotients of one-sided triangulated categories by rigid subcategories as module categories. Journal of Algebra and Its Applications 14:07, pages 1550104.
Crossref
Xiaoyan Yang & Nanqing Ding. (2015) The homotopy category and derived category of N-complexes. Journal of Algebra 426, pages 430-476.
Crossref
Kiyoshi Igusa & Gordana Todorov. (2014) Continuous Cluster Categories I. Algebras and Representation Theory 18:1, pages 65-101.
Crossref
Jichun Liu & Longgang Sun. (2014) Idempotent completion of pretriangulated categories. Czechoslovak Mathematical Journal 64:2, pages 477-494.
Crossref
Grigory Garkusha. (2012) Universal bivariant algebraic K-theories. Journal of Homotopy and Related Structures 8:1, pages 67-116.
Crossref
Moritz Groth. (2013) Derivators, pointed derivators and stable derivators. Algebraic & Geometric Topology 13:1, pages 313-374.
Crossref
Apostolos Beligiannis. (2011) On algebras of finite Cohen–Macaulay type. Advances in Mathematics 226:2, pages 1973-2019.
Crossref
Pedro Nicolás & Manuel Saorín. (2009) Balance in Stable Categories. Algebras and Representation Theory 12:6, pages 543-566.
Crossref
Grigory Garkusha. (2007) Homotopy theory of associative rings. Advances in Mathematics 213:2, pages 553-599.
Crossref
Ya-nan Lin & Lin Xin. (2007) On one-sided torsion pair. Science in China Series A: Mathematics 50:1, pages 13-26.
Crossref
Peter Jørgensen. (2001) Spectra of Modules. Journal of Algebra 244:2, pages 744-784.
Crossref
Apostolos Beligiannis. (2000) Relative Homological Algebra and Purity in Triangulated Categories. Journal of Algebra 227:1, pages 268-361.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.