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The structure theorems \cite{3, 6, 21} for the classes of perfect ideals of grade 3 have been generalized to the structure theorems for the classes of perfect ideals linked to almost complete intersections of grade 3 by a regular sequence \cite{15}. In this paper we obtain structure theorems for two classes of Gorenstein ideals of grade 4 expressed as the sum of a perfect ideal of grade 3 (except a Gorenstein ideal of grade 3) and an almost complete intersection of grade 3 which are geometrically linked by a regular sequence.
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참고문헌 (21)
참고문헌 신청
A. Brown / 1987 / A structure theorem for a class of grade three perfect ideals / J. Algebra 105 (2) : 308 ~ 327
A. Iarrobino / 2005 / Artinian Gorenstein Algebras of embedding dimension four: components of PGor(H) for (1, 4, 7, . . . , 1) / J. Pure Appl. Algebra 201 (1-3) : 62 ~ 96
A. Kustin / 1982 / Structure theory for a class of grade four Gorenstein ideals / Trans. Amer. Math. Soc 270 (1) : 287 ~ 307
A. Kustin / 1985 / Tight double linkage of Gorenstein algebras / J. Algebra 95 (2) : 384 ~ 397
C. Peskine / 1974 / Liaison des vari´et´es alg´ebriques / Invent. Math 26 : 271 ~ 302
A. Iarrobino / 2005 / Artinian Gorenstein Algebras of embedding dimension four: components of PGor(H) for (1, 4, 7, . . . , 1) / J. Pure Appl. Algebra 201 (1-3) : 62 ~ 96
A. Kustin / 1982 / Structure theory for a class of grade four Gorenstein ideals / Trans. Amer. Math. Soc 270 (1) : 287 ~ 307
A. Kustin / 1985 / Tight double linkage of Gorenstein algebras / J. Algebra 95 (2) : 384 ~ 397
C. Peskine / 1974 / Liaison des vari´et´es alg´ebriques / Invent. Math 26 : 271 ~ 302
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