Projective S-acts and Exact Functors

Yuqun Chen · Algebra Colloquium · 2000

Let S be a semigroup. In this paper, projective S -acts and exact sequences in S -Act are studied. It is shown that, for a unitary S -act P , the functor Hom( P , –) is exact if and only if P ≅ Se for some idempotent e ɛ S .

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