科研之友
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摘要
Let RCS be a semidualizing(R,S)-bimodule. Then RCS induces an equivalent between the Auslander class AC(S) and the Bass class BC(R). Let A and B be free normalizing extensions of R and S respectively. In this paper, we prove that Hom S(BBS,RCS) is a semidualizing(A,B)-bimodule under some suitable conditions,and so Hom S(BBS,RCS) induces an equivalence between the Auslander class■and the Bass class■Furthermore, under a suitable condition on RCS, we develop a generalized Morita theory for Auslander categories.
