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n-Exangulated categories (II): Constructions from n-cluster tilting subcategories
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China..
Nagoya Univ, Sch Math, Furo-cho, Chikusa-ku, Nagoya 4648602, Aichi, Japan..
2022 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 594, p. 636-684Article in journal (Refereed) Published
Abstract [en]

In n-Exangulated Categories (I), we introduced the notion of n-exangulated categories for each positive integer n. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu, but also gives a common generalization of n-exact categories in the sense of Jasso and (n + 2)-angulated categories in the sense of Geiss-Keller-Oppermann. In this second article we introduce the notion of n-cluster tilting subcategories for extriangulated categories with enough projectives and injectives and show that under certain conditions such n-cluster tilting subcategories are n- exangulated. (C)& nbsp;2021 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
Elsevier BV Elsevier, 2022. Vol. 594, p. 636-684
Keywords [en]
Triangulated category,

Exact category

, n-Angulated category, n-Exact category
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:uu:diva-474813DOI: 10.1016/j.jalgebra.2021.11.042ISI: 000789489300023OAI: oai:DiVA.org:uu-474813DiVA, id: diva2:1660615
Funder
Swedish Research Council, 621-2014-3983Knut and Alice Wallenberg Foundation, KAW2014.0334Available from: 2022-05-24 Created: 2022-05-24 Last updated: 2024-01-15Bibliographically approved

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Herschend, Martin

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