Results 81 to 90 of about 443,027 (142)

Modules With Epimorphisms Between Their Submodules

Journal of Mathematics
An R-module M is called weakly uniserial if its submodules are comparable regarding embedding, i.e., if for any two submodules N, K of M, HomRN,K or HomRK,N contains an injective element.
P. Karimi Beiranvand
doaj   +1 more source

Modules Over Group Rings with Restrictions on Some Factor-Modules

, 2017
Let D be a Dedekind domain and G be a group. In this paper we study DG-modules in which every proper factor-module, a part from the trivial one, is D-artinian.
Kurdachenkol, Leonid A., Trombetti, Marco, Leonid A. Kurdachenkol, Marco Trombetti   +3 more
core   +1 more source

Weak Resolution Dimensions of Subcategories

Axioms
We investigate the relationships between the weak resolution dimensions of subcategories of module categories of Artinian algebras in the present paper. Let Λ be an Artinian algebra, and A, B and X subcategories of Λ-modules, such that each object X in X
Juxiang Sun, Xinpeng Liu, Weimin Liu
doaj   +1 more source

ON \alpha-ALMOST QUASI ARTINIAN MODULES

International Electronic Journal of Algebra, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Unifying some classical results on Artinian rings and modules [PDF]

In this note, we introduce a very crude but natural notion of measure on the class of left R-modules over a ring R. We use this notion to give short proofs of some classical theorems on (left) Artinian rings and modules, due to Akizuki, Anderson, Hopkins,
Mesyan, Zachary, Leyba, Donovan, Oman, Greg   +2 more
core   +1 more source

On Zero-Divisor Graphs of Z_n When n Is Square-Free

Axioms
In this article, some properties of the zero-divisor graph Γ(Zn) are investigated when n is a square-free positive integer. It is shown that the zero-divisor graph Γ(Zn) of ring Zn is a (2k−2)-partite graph when the prime decomposition of n contains k ...
Kholood Alnefaie, Nanggom Gammi, Saifur Rahman, Shakir Ali   +3 more
doaj   +1 more source

On commutative rings whose maximal ideals are idempotent [PDF]

, 2019
summary:We prove that for a commutative ring $R$, every noetherian (artinian) $R$-module is quasi-injective if and only if every noetherian (artinian) $R$-module is quasi-projective if and only if the class of noetherian (artinian) $R$-modules is socle ...
Tribak, Rachid, Kourki, Farid
core   +1 more source

Coweakly Uniserial Modules and Rings Whose (2-Generated) Modules Are Coweakly Uniserial

Journal of Mathematics
A module is called weakly uniserial if for any two its submodules at least one of them is embedded in the other. This is a nontrivial generalization of uniserial modules and rings. Here, we introduce and study the dual of this concept.
M. M. Oladghobad, R. Beyranvand
doaj   +1 more source

Uniformly Secondary Modules over Commutative Ring

پژوهش‌های ریاضی, 2017
In [2] the notion of “uniformly ideal” was introduced and developed the basic theory. In this article we introduce and advance a theory which, in a sense, dual to that i.e, the notion of “uniformly secondary module”.
A.J Taherizadeh
doaj  

Flat and projective character modules

, 1981
We characterize left coherent, left Noetherian, and left Artinian rings by the flatness, projectivity, and injectivity of the character module of certain left R R -modules.
David R. Stone, Thomas J. Cheatham
core   +1 more source