4 papers
Weakly uniserial dimension of modules
Nasrin Shirali, Reza Beyranvand, Saba Shirzadi
Recall that a module is called weakly uniserial if its submodules are comparable regarding embedding. Weakly uniserial modules are a nontrivial generalization of uniserial modules.…
A topological expression for dual-classical Krull dimension of rings
Sayed Malek Javdannezhad, Nasrin Shirali
Let R be a ring and X = SH(R)-{0} be the set of all non-zero strongly hollow ideals (briefly, sh-ideals) of R. We first study the concept SH-topology and investigate some of the ba…
On multiplication fs-modules and dimension symmetry
Sayed Malek Javdannezhad, Sayedeh Fatemeh Mousavinasab, Nasrin Shirali
In this paper, we first study -modules, i.e., modules with finitely many small submodules. We show that every -module with finite hollow dimension is Noetherian. Also, we p…
On AB5* modules with Noetherian dimension
Sayed Malek Javdannezhad, Mohammad Maschizadeh, Nasrin Shirali
In this paper, we study the Noetherian dimension of sum of certain modules. It is proved that for any module M which is an irredundant sum of submodules, each of which has Noetheri…