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Corrigendum to: ‘‘Affine semigroups and Cohen-Macaulay rings generated by monomials” [Trans.\ Amer.\ Math.\ Soc.\ {\bf 298} (1986), no.\ 1, 145–167; MR0857437 (87j:13032)]
In §3 we have defined and considered the factor complex D' /DZ.But DZ is not a subcomplex of D', whereas the "complement" of DZ in D' is.So please change the definition of DZ on p. 152 to Dl := 0 Dj and replace the notation D'/DZ on p. 152 (lines …