M. A. Tootkaboni

activity

20092025

most cited

L m c -

compactification of a semitopological semigroup as a space of e-ultrafilters

4 citations · 5 across the 11 of their papers we have counts for

collaborators

11 papers

math.CO2025

Polynomial extension of Van der Waerden's Theorem near zero

Ghadir Ghadimi, Mohammad Akbari Tootkaboni

Let $S$ be a dense subring of the real numbers. In this paper we prove a polynomial version of Van der Waerden's theorem near zero. In fact, we prove that if $p_1,\ldots,p_m \in \m…

math.CO2025

An Algebraic Proof of the Polynomial Version of van der Waerden's Theorem

Javad Jafari, Mohammad Akbari Tootkaboni

The polynomial version of van der Waerden's theorem, proved using dynamical systems by V. Bergelson and A. Leibman in 1996, \cite{Bergelson1996}, significantly highlighted the role…

math.CO2024

Partial semigroup partial dynamical systems and Partial Central Sets

H. Goodarzi, M. A. Tootkaboni, Arpita Ghosh

H. Furstenberg defined Central sets in $N$ by using the notions of topological dynamics, later Bergelson and Hindman characterized central sets in $N$ and also in…

math.FA2019

Ultrafilters on measurable semigroups

A. Pashapournia, M. Akbari Tootkaboni, D. Ebrahimbagha

Let $(S, \cdot)$ be a semigroup and $m$ be a $σ$ -algebra on $S$ . We say $(S, \cdot, m)$ is a measurable semigroup if $π : S \times S ⟶ S$ by $π(x,y)=x\…

math.FA2019

Some Combinatorial Concepts near an Idempotent

A. Pashapournia, M. A. Tootkaboni, D. Ebrahimi Bagha

A small part of real line which is very close to zero has rich combinatorial properties. The aim of this paper is to express and then prove some locally combinatorial concepts near…

math.GN2015★ 1 cited

Central set Theorem near zero

E. Bayatmanesh, M. Akbari Tootkaboni, A. Bagheri Sales

In this paper, we introduce notions of $J$ -set near zero and $C$ -set near zero for a dense subsemigroup of $((0, + \infty), +)$ and obtain some results for them. Also we derive the Ce…