AbstractA condition is obtained on the Hilbert function of a graded Cohen-Macaulay domain R = R0 ⊛ Rt ⊛ ⋯ over a field R0 = K when R is integral over the subalgebra generated by R1. A result of Eisenbud and Harris leads to a stronger condition when char K = 0 and R is generated as a K-algebra by R1. An application is given to the Ehrhart polynomial of an integral convex polytope
Let $I$ be an ideal generated by a system of parameters in an excellent Cohen-Macaulay local domain....
This dissertation builds upon two well-known theorems: Macaulay's theorem on the Hilbert functions o...
We classify the Hilbert functions of bigraded algebras in k[x1,x2,y1,y2] by introducing a numerical ...
AbstractA condition is obtained on the Hilbert function of a graded Cohen-Macaulay domain R = R0 ⊛ R...
AbstractLet A = A0 ⊕ A1 ⊕ ⋯ be a commutative graded ring such that (i) A0 = k a field. (ii) A = k[A1...
AbstractWe prove that, given a local Cohen-Macaulay ring (A,m), suitable relations between the first...
AbstractLet A = A0⊗A1⊗⋯ be a commutative graded ring such that (i) A0 = k a field, (ii) A = k[A1] an...
The Hilbert function of a zero-dimensional ideal in a d-dimensional Cohen-Macaulay local ring is stu...
AbstractThis paper gives a new postulation of the Hubert function of a Cohen-Macaulay homogeneous do...
AbstractWe prove that for any finite field k, there exist differentiable O-sequences which are not H...
The Eisenbud-Green-Harris (EGH) conjecture offers a generalization of the famous Macaulay’s theorem ...
AbstractLet A = A0⊗A1⊗⋯ be a commutative graded ring such that (i) A0 = k a field, (ii) A = k[A1] an...
AbstractLet A = A0 ⊕ A1 ⊕ ⋯ be a commutative graded ring such that (i) A0 = k a field. (ii) A = k[A1...
AbstractGiven a local Cohen–Macaulay ring (R,m), we study the interplay between the integral closedn...
Let (A, [special characters omitted]) be a d-dimensional Noetherian local ring, M a finite Cohen-Mac...
Let $I$ be an ideal generated by a system of parameters in an excellent Cohen-Macaulay local domain....
This dissertation builds upon two well-known theorems: Macaulay's theorem on the Hilbert functions o...
We classify the Hilbert functions of bigraded algebras in k[x1,x2,y1,y2] by introducing a numerical ...
AbstractA condition is obtained on the Hilbert function of a graded Cohen-Macaulay domain R = R0 ⊛ R...
AbstractLet A = A0 ⊕ A1 ⊕ ⋯ be a commutative graded ring such that (i) A0 = k a field. (ii) A = k[A1...
AbstractWe prove that, given a local Cohen-Macaulay ring (A,m), suitable relations between the first...
AbstractLet A = A0⊗A1⊗⋯ be a commutative graded ring such that (i) A0 = k a field, (ii) A = k[A1] an...
The Hilbert function of a zero-dimensional ideal in a d-dimensional Cohen-Macaulay local ring is stu...
AbstractThis paper gives a new postulation of the Hubert function of a Cohen-Macaulay homogeneous do...
AbstractWe prove that for any finite field k, there exist differentiable O-sequences which are not H...
The Eisenbud-Green-Harris (EGH) conjecture offers a generalization of the famous Macaulay’s theorem ...
AbstractLet A = A0⊗A1⊗⋯ be a commutative graded ring such that (i) A0 = k a field, (ii) A = k[A1] an...
AbstractLet A = A0 ⊕ A1 ⊕ ⋯ be a commutative graded ring such that (i) A0 = k a field. (ii) A = k[A1...
AbstractGiven a local Cohen–Macaulay ring (R,m), we study the interplay between the integral closedn...
Let (A, [special characters omitted]) be a d-dimensional Noetherian local ring, M a finite Cohen-Mac...
Let $I$ be an ideal generated by a system of parameters in an excellent Cohen-Macaulay local domain....
This dissertation builds upon two well-known theorems: Macaulay's theorem on the Hilbert functions o...
We classify the Hilbert functions of bigraded algebras in k[x1,x2,y1,y2] by introducing a numerical ...
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