Abstract. Let R be a Noetherian ring, F: = Rr and M ⊆ F a submodule of rank r. Let A∗(M) denote the stable value of Ass(Fn/Mn), for n large, where Fn is the nth symmetric power of Fn and Mn is the image of the nth symmetric power of M in Fn. We provide a number of characterizations for a prime ideal to belong to A∗(M). We also show that A∗(M) ⊆ A∗(M), where A∗(M) denotes the stable value of Ass(Fn/Mn). 1
All rings in this paper are assumed to be commutative with identity, and they will generally also be...
AbstractLet R=⊕n∈NtRn be a Noetherian multigraded ring, and let M be a finitely generated multigrade...
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M t...
AbstractLet R be a Noetherian ring, F:=Rr and M⊆F a submodule of rank r. Let A∗¯(M) denote the stabl...
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Abstract. Let I be an ideal in a Noetherian commutative ring R with unit, let k ≥ 2 be an integer, a...
AbstractAn ideal I in a Noetherian ring R is normally torsion-free if Ass(R/It)=Ass(R/I) for all t≥1...
Let A be a Noetherian ring, J subset of A an ideal and C a finitely generated A-module. In this note...
Abstract. In this paper, we give some properties on submodule transforms. Let M be a module over com...
LetR ⊆ B be rings such thatR is Noetherian andB is an intermediate ring between a Noetherian integra...
Abstract. Let R be a Noetherian standard N d-graded ring and M;N nitely generated, N d-graded R-modu...
Let M be a finitely-generated module over a Noetherian ring R. Suppose a is an ideal of R and let N ...
Abstract. Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime...
Let $f\sb1,\... ,f\sb{d}$ be elements generating an ideal primary to a maximal ideal in a commutativ...
All rings in this paper are assumed to be commutative with identity, and they will generally also be...
AbstractLet R=⊕n∈NtRn be a Noetherian multigraded ring, and let M be a finitely generated multigrade...
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M t...
AbstractLet R be a Noetherian ring, F:=Rr and M⊆F a submodule of rank r. Let A∗¯(M) denote the stabl...
AbstractLet R be a commutative ring and G a free R-module with finite rank e>0. For any R-submodule ...
AbstractLet A⊆B be a homogeneous extension of Noetherian standard Nr-graded rings with A0=B0=R. Let ...
Abstract. Let I be an ideal in a Noetherian commutative ring R with unit, let k ≥ 2 be an integer, a...
AbstractAn ideal I in a Noetherian ring R is normally torsion-free if Ass(R/It)=Ass(R/I) for all t≥1...
Let A be a Noetherian ring, J subset of A an ideal and C a finitely generated A-module. In this note...
Abstract. In this paper, we give some properties on submodule transforms. Let M be a module over com...
LetR ⊆ B be rings such thatR is Noetherian andB is an intermediate ring between a Noetherian integra...
Abstract. Let R be a Noetherian standard N d-graded ring and M;N nitely generated, N d-graded R-modu...
Let M be a finitely-generated module over a Noetherian ring R. Suppose a is an ideal of R and let N ...
Abstract. Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime...
Let $f\sb1,\... ,f\sb{d}$ be elements generating an ideal primary to a maximal ideal in a commutativ...
All rings in this paper are assumed to be commutative with identity, and they will generally also be...
AbstractLet R=⊕n∈NtRn be a Noetherian multigraded ring, and let M be a finitely generated multigrade...
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M t...