科研之友
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摘要
Let A be an Artin algebra. A pair (C, T) of A-modules is tilting provided that C and T are (finitely generated) self-orthogonal, T is an element of add(A) C and C is an element of add(A) T. Particularly, T is a tilting module if and only if (A, T) is a tilting pair. In the note, we will extend the Auslander-Reiten correspondence for tilting modules to the context of tilting pairs.
