ξ -Tilting Objects in Extriangulated Categories

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2022-03-20 DOI:10.1142/s1005386723000111

Yu‐Qin Mei, Jiaqun Wei

引用次数: 0

Abstract

Extriangulated categories were introduced by Nakaoka and Palu via extracting the similarities between exact categories and triangulated categories. In this article we introduce the notion of [Formula: see text]-tilting objects in an extriangulated category, where [Formula: see text] is a proper class of [Formula: see text]-triangles. Our results extend the relative tilting theory in extriangulated categories.

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外三角化类别中的ξ -倾斜对象

外三角化范畴是Nakaoka和Palu通过提取精确范畴和三角化范畴之间的相似性引入的。在本文中，我们引入了[公式:见文]的概念-倾斜对象在一个三角化的范畴，其中[公式:见文]是一个适当的类[公式:见文]-三角形。我们的结果在外三角化范畴中推广了相对倾斜理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.