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.
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Fund Project:NSFC(No.12101003) |
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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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