An Axiomatic Approach for Degenerations in Triangulated Categories

被引：2
作者：
Saorin, Manuel [1 ]
Zimmermann, Alexander [2 ,3 ]
机构：
[1] Univ Murcia, Dept Matemat, Aptdo 4021, E-30100 Murcia, Spain
[2] Univ Picardie, Dept Math, 33 Rue St Leu, F-80039 Amiens 1, France
[3] Univ Picardie, LAMFA, UMR 7352, CNRS, 33 Rue St Leu, F-80039 Amiens 1, France
来源：
APPLIED CATEGORICAL STRUCTURES | 2016年 / 24卷 / 04期
关键词：
Degeneration; Triangulated categories; Zwara-Riedtmann theorem; Yoshino's degeneration;
D O I：
10.1007/s10485-015-9401-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We generalise Yoshino's definition of a degeneration of two Cohen Macaulay modules to a definition of degeneration between two objects in a triangulated category. We derive some natural properties for the triangulated category and the degeneration under which the Yoshino-style degeneration is equivalent to the degeneration defined by a specific distinguished triangle analogous to Zwara's characterisation of degeneration in module varieties.
引用
收藏
页码：385 / 405
页数：21
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