An Axiomatic Approach for Degenerations in Triangulated Categories

被引：0
作者：
Manuel Saorín
Alexander Zimmermann
机构：
[1] Universidad de Murcia,Departemento de Matemáticas
[2] Université de Picardie,Département de Mathématiques et LAMFA (UMR 7352 du CNRS)
来源：
Applied Categorical Structures | 2016年 / 24卷
关键词：
Degeneration; Triangulated categories; Zwara-Riedtmann theorem; Yoshino’s degeneration; Primary 18E30; Secondary 16G10; 16G30; 16E35; 18E35;
D O I：
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中图分类号：
学科分类号：
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.
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页码：385 / 405
页数：20
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