2024/07/02 by Anik Pramanick, Pramanick, Anik, MD Mursalim Saikh +1
Computer Science · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Functional Equations Stability Results #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2407.02629
openalex publication_date 2024/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Central sets theorem was first introduced by H. Furstenberg [F] in terms of Dynamical systems. Later Hindman and Bergelson extended the theorem using Stone-Čech compactification βℕ of ℕ. In [SY] algebraic characterization of Central sets was done for semigroup and equivalence of Dynamical and Algebraic characterizations were shown. D. De, N. Hindman, and D. Strauss proved a stronger version of the Central sets theorem for semigroup. D. Phulara generalized that theorem for commutative semigroup taking a sequence of Central sets. Recently J. Podder and S. Pal established the Phulara type generalization of Central sets theorem near zero [PP]. We did this for arbitrary adequate partial semigroup and VIP systems.