4 citations · 6 across the 6 of their papers we have counts for
9 papers
The OP subgroup of a torsion-free LCA group
AliAkbar Alijani
Let be a locally compact abelian (LCA) group. We denote by , the intersection of all open pure subgroups of , which we call the subgroup of . In this paper,…
open sets and continuity in topological spaces
Aliakbar Alijani
In this paper, we study some properties of open and closed subsets of a space. The collection of all open subsets of a space form a topology on which is denoted…
On TFU extensions in LCA groups
Aliakbar Alijani
Let be the category of all locally compact abelian (LCA) groups. Let and . The first Ulm subgroup of is denoted by and the closure of…
On generalized $\unicode{x00A3}$-cotorsion LCA groups
Aliakbar Alijani
A locally compact abelian group is called a generalized $\unicode{x00A3}$-cotosion group if contains an open $\unicode{x00A3}$-cotosion subgroup such that is a co…
On T-locally compact spaces
Aliakbar Alijani
The aim of this paper is to introduce and give preliminary investigation of T-locally compact spaces. Locally compact and T-locally compact are independent of each other. Every Hau…
Circumferential Crack Modeling of Thin Cylindrical Shells in Modal Deformation
Ali Alijani, Olga Barrera, Stephane P. A. Bordas
An innovative technique, called conversion, is introduced to model circumferential cracks in thin cylindrical shells. The semi-analytical finite element method is applied to invest…
On t-extensions of abelian groups
Hussain Sahleh, Aliakbar Alijani
Let G and C be two discrete abelian groups. It is known that Pext(C,G) is a subgroup of Ext(C,G). In this paper, we introduce the t-extensions of G by C. We will show that the set…
Extensions of locally compact abelian, torsion-free groups by compact torsion abelian groups
Hossain Sahleh, Ali Akbar Alijani
Let be a compact torsion abelian group. In this paper, we show that an extension of by splits where is the p-adic number group and a prime number. Also,…
S-pure Extensions of Locally Compact Abelian Groups
Hossain Sahleh, Ali Akbar Alijani
In this paper, we introduce the concept and study some properties of an s-pure subgroup and a s-pure extension in the category of locally compact abelian groups.