Add to ORKGAbstract. In this paper we study the algebras generated by the entries of a certain submatrix and the maximal minors of a generic matrix over a commutative Noetherian ring. We prove that they are Gorenstein (resp. factorial) rings if and only if the base ring is Gorenstein (resp. factorial). When the base ring is an infinite field, they are the rings of invariants of a certain subgroup of the special linear group on the polynomial ring. By our theorem, we see that the Rees algebra of the second syzygy module of the residue field over the polynomial ring is Gorenstein and factorial
The defining equations of Rees algebras provide a natural pathway to study these rings. However, inf...
This paper introduces and studies a particular subclass of the class of commutative rings with finit...
Let G be a finite group acting on a polynomial ring A over the field K and let AG denote the corresp...
AbstractA different proof of the fact that the first syzygy module of minors of certain size defined...
Let Y be a closed subscheme of Pn−1 k defined by a homogeneous ideal I⊂ A=k[X1,...,Xn], and X obtain...
AbstractLetK[t1,t2,…,tn] be the polynomial ring innvariables over a fieldK. We fix an integerdand a ...
AbstractWe describe “quasi-canonical modules” for modular invariant rings R of finite group actions ...
In this paper we determine the exponents n for which the Rees ring R(In) and the form ring grA (In) ...
We study the Cohen-Macaulay property of Rees algebras of modules of K¨ahler differentials. When the ...
Let K[t1, t2 , . . . , tn] be the polynomial ring in n variables over a field K. We fix an integer d...
Abstract. Let I be an m-primary ideal of a Noetherian local ring (R;m). We consider the Gorenstein a...
We introduce a notion of Gorenstein algebras of codimension c and demonstrate that Serre duality the...
Studying invariant theory of commutative polynomial rings has motivated many developments in commuta...
AbstractLet R be a commutative Noetherian local ring with residue class field k. In this paper, we m...
Dedicated to the memory of Fernando Serrano Let Y be a closed subscheme of Pn−1 k defined by a homog...
The defining equations of Rees algebras provide a natural pathway to study these rings. However, inf...
This paper introduces and studies a particular subclass of the class of commutative rings with finit...
Let G be a finite group acting on a polynomial ring A over the field K and let AG denote the corresp...
AbstractA different proof of the fact that the first syzygy module of minors of certain size defined...
Let Y be a closed subscheme of Pn−1 k defined by a homogeneous ideal I⊂ A=k[X1,...,Xn], and X obtain...
AbstractLetK[t1,t2,…,tn] be the polynomial ring innvariables over a fieldK. We fix an integerdand a ...
AbstractWe describe “quasi-canonical modules” for modular invariant rings R of finite group actions ...
In this paper we determine the exponents n for which the Rees ring R(In) and the form ring grA (In) ...
We study the Cohen-Macaulay property of Rees algebras of modules of K¨ahler differentials. When the ...
Let K[t1, t2 , . . . , tn] be the polynomial ring in n variables over a field K. We fix an integer d...
Abstract. Let I be an m-primary ideal of a Noetherian local ring (R;m). We consider the Gorenstein a...
We introduce a notion of Gorenstein algebras of codimension c and demonstrate that Serre duality the...
Studying invariant theory of commutative polynomial rings has motivated many developments in commuta...
AbstractLet R be a commutative Noetherian local ring with residue class field k. In this paper, we m...
Dedicated to the memory of Fernando Serrano Let Y be a closed subscheme of Pn−1 k defined by a homog...
The defining equations of Rees algebras provide a natural pathway to study these rings. However, inf...
This paper introduces and studies a particular subclass of the class of commutative rings with finit...
Let G be a finite group acting on a polynomial ring A over the field K and let AG denote the corresp...