AbstractIn this paper we will compute the integral closures of certain ideals generated by regular sequences which are generically good. The Cohen–Macaulayness of the normalized Rees algebras associated to those ideals will be also proved
AbstractWe prove that if B⊂R=k [ X1,⋯ , Xn] is a reduced monomial ideal, then HBi(R) = ∪d≥1ExtRi(R/B...
In this paper we construct systems of generators for arithmetic subgroups of algebraic groups
AbstractLet μ(I) denote the minimal number of generators of an ideal I of a local ring (R,M). The Di...
In this paper, we assume that R is a reduced noetherian local ring with coefficient field K of chara...
AbstractWe prove the following result, which is motivated by the recent work of Kurano and Roberts o...
AbstractLet I1,·, Ig be proper ideals of a Noetherian ring R. Then it is shown that I1·Ig=I1∩·∩Ig=∩ ...
AbstractGiven a local ring R and n ideals whose sum is primary to the maximal ideal of R, one may de...
This article provides definitions and examples upon an integral element of unital commutative rings....
This is a suite of the previous paper[1]. In that paper, we showed under some assumptions that when ...
AbstractLet R be a complete and integral local k-algebra of dimension one, k an algebraically closed...
AbstractIn (J. Pure Appl. Algebra 179 (2003) 1) it is proved that for a ring homomorphism α:R→A such...
Let (R, m) denote a Noetherian, local ring R with maximal ideal m. Let I and J be ideals contained i...
AbstractWith I⊆PϵSpec R, and I a regular ideal in the Noetherian ring R, we discuss when (u,P,It) is...
This paper describes an Artinian module over a ring of prime characteristic whose algebra of Frobeni...
Let o be the ring of integers in a finite extension (Formula presented.) and (Formula presented.) be...
AbstractWe prove that if B⊂R=k [ X1,⋯ , Xn] is a reduced monomial ideal, then HBi(R) = ∪d≥1ExtRi(R/B...
In this paper we construct systems of generators for arithmetic subgroups of algebraic groups
AbstractLet μ(I) denote the minimal number of generators of an ideal I of a local ring (R,M). The Di...
In this paper, we assume that R is a reduced noetherian local ring with coefficient field K of chara...
AbstractWe prove the following result, which is motivated by the recent work of Kurano and Roberts o...
AbstractLet I1,·, Ig be proper ideals of a Noetherian ring R. Then it is shown that I1·Ig=I1∩·∩Ig=∩ ...
AbstractGiven a local ring R and n ideals whose sum is primary to the maximal ideal of R, one may de...
This article provides definitions and examples upon an integral element of unital commutative rings....
This is a suite of the previous paper[1]. In that paper, we showed under some assumptions that when ...
AbstractLet R be a complete and integral local k-algebra of dimension one, k an algebraically closed...
AbstractIn (J. Pure Appl. Algebra 179 (2003) 1) it is proved that for a ring homomorphism α:R→A such...
Let (R, m) denote a Noetherian, local ring R with maximal ideal m. Let I and J be ideals contained i...
AbstractWith I⊆PϵSpec R, and I a regular ideal in the Noetherian ring R, we discuss when (u,P,It) is...
This paper describes an Artinian module over a ring of prime characteristic whose algebra of Frobeni...
Let o be the ring of integers in a finite extension (Formula presented.) and (Formula presented.) be...
AbstractWe prove that if B⊂R=k [ X1,⋯ , Xn] is a reduced monomial ideal, then HBi(R) = ∪d≥1ExtRi(R/B...
In this paper we construct systems of generators for arithmetic subgroups of algebraic groups
AbstractLet μ(I) denote the minimal number of generators of an ideal I of a local ring (R,M). The Di...
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