Abstract
Kang, Cho, and Ko gave a structure theorem for some classes of perfect ideals of grade 3 which are linked to almost complete intersections by a regular sequence. We define a 5 × 9 matrix f determined by three matrices A, T, and Y and construct a class of perfect ideals 𝒦4(f) of grade 3 defined by f. This contains a class of perfect ideals of grade 3 minimally generated by five elements which are not Gorenstein. We give a structure theorem for some classes of perfect ideals of grade 3 linked to 𝒦4(f) by a regular sequence in 𝒦4(f).
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