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THE SET OF ATTACHED PRIME IDEALS OF LOCAL COHOMOLOGY
RASOULYAR, S. 호남수학회 2001 한국수학학술지 Vol.23 No.1
In [2, 7.3.2], the set of attached prime ideals of local cohomology module H_m^n(M) were calculated, where (A, m) be Noetherian local ring, M finite A-module and dim_A(M)=n, and also in the special case in which furthermore A is a homomorphic image of a Gornestien local ring (A', m') (see [2, 11.3.6]). In this paper, we shall obtain this set, by another way in this special case.
THE SET OF ATTACHED PRIME IDEALS OF LOCAL COHOMOLOGY
RASOULYAR, S. The Honam Mathematical Society 2001 호남수학학술지 Vol.23 No.1
In [2, 7.3.2], the set of attached prime ideals of local cohomology module $H_m^n(M)$ were calculated, where (A, m) be Noetherian local ring, M finite A-module and $dim_A(M)=n$, and also in the special case in which furthermore A is a homomorphic image of a Gornestien local ring (A', m') (see [2, 11.3.6]). In this paper, we shall obtain this set, by another way in this special case.
Rasoulyar, S. Korean Mathematical Society 2004 대한수학회보 Vol.41 No.2
Let A be Noetherian ring, a= (${\tau}_1..., \tau_n$ an ideal of A and $C_{A}$ be category of A-modules and A-homomorphisms. We show that the connected left sequences of covariant functors ${limH_i(K.(t^t,-))}_{i\geq0}$ and ${lim{{Tor^A}_i}(\frac{A}{a^f}-)}_{i\geq0}$ are isomorphic from $C_A$ to itself, where $\tau^t\;=\;{{\tau_^t}_1$, ㆍㆍㆍ${\tau^t}_n$.
S. Rasoulyar 대한수학회 2004 대한수학회보 Vol.41 No.2
Let A be Noetherian ring, fa=(r_1,dots,r_n) an ideal of Aand mathcal C_A be category of A-modules andA-homomorphisms. We show that the connected left sequences ofcovariant functors {underset{tinBN}{vpl}H_i(K_bullet(fr^t,-))}_{igeq 0} and{underset{tinBN}{vpl}Tor_i^A(frac{A}{fa^t},-)}_{igeq0} are isomorphic {linebreak}from mathcal C_A to itself,where fr^t=r_1^t,dots,r_n^t.
TORSION THEORY, CO-COHEN-MACAULAY AND LOCAL HOMOLOGY
Bujan-Zadeh, Mohamad Hosin,Rasoulyar, S. Korean Mathematical Society 2002 대한수학회보 Vol.39 No.4
Let A be a commutative ring and M an Artinian .A-module. Let $\sigma$ be a torsion radical functor and (T, F) it's corresponding partition of Spec(A) In [1] the concept of Cohen-Macauly modules was generalized . In this paper we shall define $\sigma$-co-Cohen-Macaulay (abbr. $\sigma$-co-CM). Indeed this is one of the aims of this paper, we obtain some satisfactory properties of such modules. An-other aim of this paper is to generalize the concept of cograde by using the left derived functor $U^{\alpha}$$_{I}$(-) of the $\alpha$-adic completion functor, where a is contained in Jacobson radical of A.A.
Torsion theory, co-Cohen-Macaulay and local homology
Mohamad Hosin Bijan-Zadeh,S. Rasoulyar 대한수학회 2002 대한수학회보 Vol.39 No.4
Let $A$ be a commutative ring and $M$ an Artinian $A$-module. Let $\sigma$ be a torsion radical functor and $(T,F)$ it's corresponding partition of $\Spec(A)$. In [1] the concept of Cohen-Macauly modules was generalized. In this paper we shall define $\sigma$-co-Cohen-Macaulay (abbr. $\sigma$-co-CM). Indeed this is one of the aims of this paper, we obtain some satisfactory properties of such modules. Another aim of this paper is to generalize the concept of cograde by using the left derived functor $U_i^{\fa}(-)$ of the $\fa$-adic completion functor, where $\fa$ is contained in Jacobson radical of $A$.