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ξ-Tilting Objects in Extriangulated Categories

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Extriangulated categories were introduced by Nakaoka and Palu via extract-ing the similarities between exact categories and triangulated categories.In this article we introduce the notion of ξ-tilting objects in an extriangulated category,where ξ is a proper class of E-triangles.Our results extend the relative tilting theory in extriangulated categories.

extriangulated categoryproper classξ-projectiveξ-tilting object

Yuxia Mei、Jiaqun Wei

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School of Mathematics and Physics,Anhui Polytechnic University Wuhu,Anhui 241000,China

Institute of Mathematics,School of Mathematical Sciences Nanjing Normal University,Nanjing 210023,China

Natural Science Foundation of ChinaPriority Academic Program Development of Jiangsu Higher Education Institutions

11771212

2023

代数集刊(英文版)

代数集刊(英文版)

CSCD北大核心
ISSN:1005-3867
年,卷(期):2023.30(1)
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