TTF Theories Induced by Two-Term Tilting Complexes and Self-Injective Algebras

被引：0

作者：

Abe, Hiroki ^{[1
]}

机构：

[1] Tokyo Keizai Univ, Ctr Gen Educ, Kokubunji, Tokyo 1858502, Japan

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2023年 / 26卷 / 06期

关键词：

Module category; Derived category; Tilting complex; Self-injective algebra; TORSION THEORIES;

D O I：

10.1007/s10468-022-10191-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be an Artin algebra and T(center dot )a two-term tilting complex of A. We determine when T-center dot induces a TTF theory for the module category over A. Next, we assume A is self-injective. Then we show that T-center dot induces a TTF theory for the module category over A if and only if T-& BULL; is isomorphic to a tilting complex defined by some idempotent in A.

引用

页码：2467 / 2483

页数：17

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