Nearly Gorenstein affine semigroup rings of codimension three have Cohen-Macaulay type at most three (and at least the dimension when not Gorenstein), with both bounds sharp.
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On nearly Gorenstein affine semigroups
Nearly Gorenstein affine semigroup rings of codimension three have Cohen-Macaulay type at most three (and at least the dimension when not Gorenstein), with both bounds sharp.