A characterization of the n-F-tilting pair
Received:July 11, 2024  Revised:October 11, 2024
Key Words: F-exact sequences   F-selforthogonal modules   n-F-tilting pairs   tilting theory.  
Fund Project:NSFC(No.12101003)
Author NameAffiliation
大俊 刘* Anhui Polytechnic university 
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Abstract:
      Tiling pair is a key concept in the tilting theory. Let F be an additive subfunctor of the functor Ext1 A(?, ?). In this paper, we introduce the note of n-F-tilting pair, which is a natural generalization of tilting pair. Some important propositions and a simplified characterization on n-F-tilting pairs are given.
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