Tilting pair is a key concept in the tilting theory.Let F be an additive subfunctor of the functor Ext_(A)^(1)(-,-).In this paper,we introduce the note of n-F-tilting pair,which is a natural generalization of n-tiltin...Tilting pair is a key concept in the tilting theory.Let F be an additive subfunctor of the functor Ext_(A)^(1)(-,-).In this paper,we introduce the note of n-F-tilting pair,which is a natural generalization of n-tilting pair in the sense of Miyahita.Some propositions and a simplified characterization on n-F-tilting pairs are given.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.12101003)the Natural Science Foundation of Anhui Province(Grant No.2108085QA07).
文摘Tilting pair is a key concept in the tilting theory.Let F be an additive subfunctor of the functor Ext_(A)^(1)(-,-).In this paper,we introduce the note of n-F-tilting pair,which is a natural generalization of n-tilting pair in the sense of Miyahita.Some propositions and a simplified characterization on n-F-tilting pairs are given.
