AbstractGiven a local ring R and n ideals whose sum is primary to the maximal ideal of R, one may define a function which takes an n-tuple of exponents (a1,…,an) to the length of Tork(R/I1,…,R/In). These functions are shown to have rational generating functions in certain cases
AbstractLet μ(I) denote the minimal number of generators of an ideal I of a local ring (R,M). The Di...
AbstractThe main purpose of this paper is to establish upper bounds for the first normalized Hilbert...
AbstractWe prove the following result, which is motivated by the recent work of Kurano and Roberts o...
AbstractFor a Noetherian local ring (R,m), the Hilbert functions of m-primary ideals provide conside...
Let (R, m) denote a Noetherian, local ring R with maximal ideal m. Let I and J be ideals contained i...
AbstractWe show that the following two conditions, for each integer r≥1, are equivalent for a finite...
AbstractIt is known that the powers mn of the maximal ideal of a local Noetherian ring share certain...
AbstractLet R be a commutative Noetherian ring, M a finitely generated R-module and I a proper ideal...
AbstractGiven a local ring R and n ideals whose sum is primary to the maximal ideal of R, one may de...
AbstractLet R be a commutative Noetherian ring, and let N be a non-zero finitely generated R-module....
AbstractIn this paper we will compute the integral closures of certain ideals generated by regular s...
AbstractLetAbe a Noetherian ring,ĨandIbe comaximal ideals ofA, andPbe a projectiveA-module. “Additio...
AbstractLet (A, m, k) denote a one dimensional, Cohen-Macaulay, local ring with maximal ideal m and ...
AbstractLet I1,·, Ig be proper ideals of a Noetherian ring R. Then it is shown that I1·Ig=I1∩·∩Ig=∩ ...
AbstractAssume R is a local Cohen–Macaulay ring. It is shown that AssR(HlI(R)) is finite for any ide...
AbstractLet μ(I) denote the minimal number of generators of an ideal I of a local ring (R,M). The Di...
AbstractThe main purpose of this paper is to establish upper bounds for the first normalized Hilbert...
AbstractWe prove the following result, which is motivated by the recent work of Kurano and Roberts o...
AbstractFor a Noetherian local ring (R,m), the Hilbert functions of m-primary ideals provide conside...
Let (R, m) denote a Noetherian, local ring R with maximal ideal m. Let I and J be ideals contained i...
AbstractWe show that the following two conditions, for each integer r≥1, are equivalent for a finite...
AbstractIt is known that the powers mn of the maximal ideal of a local Noetherian ring share certain...
AbstractLet R be a commutative Noetherian ring, M a finitely generated R-module and I a proper ideal...
AbstractGiven a local ring R and n ideals whose sum is primary to the maximal ideal of R, one may de...
AbstractLet R be a commutative Noetherian ring, and let N be a non-zero finitely generated R-module....
AbstractIn this paper we will compute the integral closures of certain ideals generated by regular s...
AbstractLetAbe a Noetherian ring,ĨandIbe comaximal ideals ofA, andPbe a projectiveA-module. “Additio...
AbstractLet (A, m, k) denote a one dimensional, Cohen-Macaulay, local ring with maximal ideal m and ...
AbstractLet I1,·, Ig be proper ideals of a Noetherian ring R. Then it is shown that I1·Ig=I1∩·∩Ig=∩ ...
AbstractAssume R is a local Cohen–Macaulay ring. It is shown that AssR(HlI(R)) is finite for any ide...
AbstractLet μ(I) denote the minimal number of generators of an ideal I of a local ring (R,M). The Di...
AbstractThe main purpose of this paper is to establish upper bounds for the first normalized Hilbert...
AbstractWe prove the following result, which is motivated by the recent work of Kurano and Roberts o...
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