Results 111 to 120 of about 600,300 (198)

Some applications of a criterion for artinianness of a module

open access: yesJournal of Pure and Applied Algebra, 1995
The author uses several methods to prove that certain local and Koszul (co)homology modules over commutative rings are Artinian, Noetherian, or finite. Some of the results appear to be new, while others strengthen or reprove known theorems. Also, a version of the Fredholm index is presented and applied to the detection of chain conditions in modules.
openaire   +1 more source

Definite orthogonal modular forms: computations, excursions, and discoveries. [PDF]

open access: yesRes Number Theory, 2022
Assaf E   +5 more
europepmc   +1 more source

Homology of Artinian Modules Over Commutative Noetherian Rings [PDF]

open access: yes, 2011
This work is primarily concerned with the study of artinian modules over commutative noetherian rings. We start by showing that many of the properties of noetherian modules that make homological methods work seamlessly have analogous properties for ...
Leamer, Micah J., Leamer, Micah Josiah
core  

On the prime radical of a module over a noncommutative ring

open access: yes, 2004
Let R be a ring and M a left R - module. The radical of M is the intersection of all prime submodules of M. It is proved that if R is a hereditary, noetherian, prime and non right artinian and M a finitely generated R-module then the radical of M has a ...
Çallıalp, Fethi, Tekir, Ünsal
core   +2 more sources

Jordan type of an Artinian algebra, a survey

open access: yes, 2023
We consider Artinian algebras $A$ over a field $\mathsf{k}$, both graded and local algebras. The Lefschetz properties of graded Artinian algebras have been long studied, but more recently the Jordan type invariant of a pair $(\ell,A)$ where $\ell$ is an ...
Altafi, Nasrin   +2 more
core  

Annsemimaximal and Coannsemimaximal Modules

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2017
        Some authors studied modules with annihilator of every nonzero submodule is prime, primary or maximal. In this paper, we introduce and study annsemimaximal and coannsemimaximal modules, where an R-module M is called annsemimaximal (resp ...
I. M.A. Hadi, , H. Y. Khalaf
doaj  

A note on cohomology and algebraic geometric codes on the curves over rings

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
Let A be a local Artinian ring with residue field k(A). Let X be a curve over A and let be X′ = X ×spec A spec k(A) the fiber of X over k(A). Consider ℒ an invertible sheaf on X and ℒ ′ = ϕ*ℒ ∈ Pic(X′), where ϕ : X′ → X is the natural map.
Nyamda Francis, Mouaha Christophe
doaj   +1 more source

Home - About - Disclaimer - Privacy