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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  

FINITENESS PROPERTIES OF FORMAL LOCAL HOMOLOGY MODULES [PDF]

Romanian Journal of Mathematics and Computer Science, 2015
Let (R, m) be a commutative Noetherian ring, a an ideal of R and M an Artinian R-module. In this paper, we investigate the structure of the formal local homology. We prove several results concerning finiteness properties of formal local homology module.
M. H. BIJAN-ZADEH,, S. GHADERI
doaj  

Noetherian module matrix over commutative ring

, 2022
Master of Science in Pure MathematicsAlgebraic structure is a set together with one or more binary operations that satisfy some axioms of the binary operations, for example groups, rings, and modules.
Achmad, Abdurrazzaq
core  

A REMARK ON THE COUNTABLY Σ−CS RING

Tạp chí Khoa học
Let 𝑅 be a ring such that 𝑅𝑅 = 𝑒1 𝑅 ⊕ · · · ⊕ 𝑒𝑛 𝑅, where each 𝑒𝑖 𝑅 is a uniform right ideal and {𝑒𝑖 | 1 ≤ 𝑖 ≤ 𝑛} is a set of idempotents. We consider the following condition on 𝑅𝑅 : for all 𝑖, 𝑗 ∈ {1, . . . , 𝑛}, the module 𝑒𝑖 𝑅 does not embed in any
Le Van An∗, To Ngoc Le Anh
doaj   +1 more source

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  

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

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

Subrings of Noetherian rings

, 1974
Let S S be a subring of a ring R R such that R R is a finitely generated right S S -module. Clearly, if S S is a right Noetherian ring then so is R R
Edward Formanek, Arun Vinayak Jategaonkar   +1 more
core   +1 more source

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