Results 11 to 20 of about 482,834 (118)

Lattice modules having small cofinite irreducibles [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
We introduce the concept of small cofinite irreducibles in Noetherian lattice modules and obtain several characterizations of this property.
E. W. Johnson, Johnny A. Johnson, Monty B. Taylor   +2 more
doaj   +2 more sources

Cofiniteness of extension functors of cofinite modules [PDF]

Journal of Algebra, 2011
Let \(R\) be a commutative noetherian ring with identity. Let \(I\) be an ideal of \(R\) and \(M,N\) two \(R\)-modules. The paper under review investigates the \(I\)-cofiniteness of the Ext-modules \(\mathrm{Ext}_R^i(N,M)\). Recall that an \(R\)-module \(X\) is said to be \(I\)-cofinite if \(\mathrm{Supp}_RX\subseteq V(I)\) and \(\mathrm{Ext}_R^i(R/I,X)
Abazari, Rasoul, Bahmanpour, Kamal
openaire   +3 more sources

On the dimension of cofinite modules

, 2023
Let $I$ be an ideal of a commutative Noetherian complete local ring $R$. In the present paper, we establish the equality $\dim R/(I+\Ann_R M)=\dim M$ for all $I$-cofinite $R$-modules $M$.
Zargar, Majid Rahro, Ghasemi, Ghader
openaire   +3 more sources

Hartshorne's question on cofinite complexes [PDF]

, 2022
Let $\mathfrak{a}$ be a proper ideal of a commutative noetherian ring $R$ and $d$ a positive integer. We answer Hartshorne's question on cofinite complexes completely in the cases $\mathrm{dim}R=d$ or $\mathrm{dim}R/\mathfrak{a}=d-1$ or $\mathrm{ara ...
Yang, Xiaoyan, Shen, Jingwen
core   +1 more source

Herr‐complexes in the Lubin–Tate setting

Mathematika, Volume 68, Issue 1, Page 74-147, January 2022., 2022
Abstract In this article, we extend work of Herr from the case of cyclotomic (φ,Γ)$(\varphi ,\Gamma )$‐modules to the general case of Lubin–Tate (φ,Γ)$(\varphi ,\Gamma )$‐modules. In particular, we define generalized φ‐ and ψ‐Herr complexes, which calculate Galois cohomology, when applied to the étale (φ,Γ)$(\varphi ,\Gamma )$‐modules attached to the ...
Benjamin Kupferer, Otmar Venjakob
wiley   +1 more source

A criterion for cofiniteness of modules

Rendiconti del Seminario Matematico della Università di Padova, 2023
Let A be a commutative noetherian ring, \mathfrak{a} be an ideal of A , and
Khazaei, Mohammad, Sazeedeh, Reza
openaire   +3 more sources

Decidability of theories of modules over tubular algebras

Proceedings of the London Mathematical Society, Volume 123, Issue 5, Page 460-497, November 2021., 2021
Abstract We show that the common theory of all modules over a tubular algebra (over a recursive algebraically closed field) is decidable. This result supports a long standing conjecture of Mike Prest which says that a finite‐dimensional algebra (over a suitably recursive field) is tame if and only if its common theory of modules is decidable (Prest ...
Lorna Gregory
wiley   +1 more source

Cofiniteness of local cohomology modules and subcategories of modules [PDF]

, 2023
Let $R$ be a commutative noetherian ring and $I$ an ideal of $R$. Assume that for all integers $i$ the local cohomology module $H_I^i(R)$ is $I$-cofinite.
Takahashi, Ryo, Wakasugi, Naoki
core   +1 more source

On generalization of ⊕-cofinitely supplemented modules [PDF]

Ukrainian Mathematical Journal, 2010
We study the properties of ⊕-cofinitely radical supplemented modules, or, briefly, cgs ⊕-modules. It is shown that a module with summand sum property (SSP) is cgs ⊕ if and only if M/w Loc⊕ M (w Loc⊕ M is the sum of all w-local direct summands of a module M ...
Nisanci, B., Pancar, A.
openaire   +2 more sources

ON THE COMINIMAXNESS OF LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems
Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules Hi I (M) are I-cominimax, for all finitely generated R-modules M and all i ∈ N0, if the R-modules Hi I (R) are I-cofinite with dimension not exceeding 1, for all ...
Ghader Ghasemi, Jafar Azami
doaj   +1 more source