Results 71 to 80 of about 263 (184)

Generalized Local Homology Modules of Complexes

پژوهش‌های ریاضی, 2017
The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using ...
Fatemeh Mohammadi
doaj  

Results in Injective Envelope and Indecomposable Injective Modules

پژوهش‌های ریاضی, 2021
Introduction Throughout this paper,  is a commutative ring with non-zero identity and  is an  -module. The study of injective modules is very important in commutative algebra and homological Algebra.
Masoumeh Hasanzad, Jafar A'zami, moharram Aghapour   +2 more
doaj  

Polynomial Rings over Pseudovaluation Rings

International Journal of Mathematics and Mathematical Sciences, 2007
Let R be a ring. Let σ be an automorphism of R. We define a σ-divided ring and prove the following. (1) Let R be a commutative pseudovaluation ring such that x∉P for any P∈Spec(R[x,σ]) . Then R[x,σ] is also a pseudovaluation ring.
V. K. Bhat
doaj   +1 more source

Embedding Noetherian Rings in Artinian Rings

Journal of Algebra, 2001
A well-known theorem of \textit{A. H. Schofield} [``Representation of rings over skew fields'', Lond. Math. Soc. Lect. Note Ser. 92, CUP, Cambridge (1985; Zbl 0571.16001)] asserts that an algebra \(A\) over a field can be embedded in a right Artinian ring if and only if there is a faithful Sylvester rank function on finitely presented \(A\)-modules. By
openaire   +1 more source

ON VANISHING OF GENERALIZED LOCAL HOMOLOGY MODULES AND ITS DUALITY [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
In this paper we study the vanishing and non-vanishing of generalized local cohomology and generalized local homology. In particular for a Noetherian local ring (R;m) and two non-zero finitely generated R-modules M and N, it is shown that H_m^{dimN} (M ...
KARIM MOSLEHI, MOHAMMAD R. AHMADI
doaj  

Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum. [PDF]

Math Ann, 2023
Bik A, Danelon A, Draisma J.
europepmc   +1 more source

Flat local morphisms of rings with prescribed depth and dimension

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
For any pairs of integers (n,m) and (d, e) such that 0 ≤ n ≤ m, 0 ≤ d _ e, d ≤ n, e ≤ m and n -d ≤ m - e we construct a local flat ring morphism of noetherian local rings u : A → B such that dim(A) = n; depth(A) = d; dim(B) = m and depth(B) = e.
Ionescu Cristodor
doaj   +1 more source

On the structure of some minimax-antifinitary modules

Karpatsʹkì Matematičnì Publìkacìï, 2015
Let  $R$  be a ring and $G$ a group. An  $R$-module $A$ is said to be {\it minimax} if $A$ includes a noetherian submodule $B$ such that  $A/B$  is artinian.
V.A. Chupordia
doaj   +1 more source

On the arithmetic of stable domains. [PDF]

Commun Algebra, 2021
Bashir A, Geroldinger A, Reinhart A.
europepmc   +1 more source

Subrings of I-rings and S-rings

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
doaj   +1 more source