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Abstract
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In this paper we prove that for a monoid S, products of indecompos-
able right S-acts are indecomposable if and only if S contains a right
zero. Besides, we prove that subacts of indecomposable right S-acts
are indecomposable if and only if S is left reversible. Ultimately, we
prove that the one element right S-act ? S is product flat if and only if
S contains a left zero.
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