"Combined algebraic properties of C<sup>∗</sup> -sets near zero" by Tanumoy Bhattacharya, Sukrit Chakraborty et al.
 

Combined algebraic properties of C -sets near zero

Article Type

Research Article

Publication Title

Semigroup Forum

Abstract

It is known that for an IP∗ set A in N and a sequence ⟨xn⟩n=1∞ there exists a sum subsystem ⟨yn⟩n=1∞ of ⟨xn⟩n=1∞ such that FS(⟨yn⟩n=1∞)∪ FP(⟨yn⟩n=1∞)⊆A. Similar types of results also have been proved for central∗ and C∗-sets where the sequences considered belong to a restricted class of sequences. In 2012, D. De and R. K. Paul have extended these results for IP∗ and central∗ sets near zero in dense subsemigroups of ((0 , ∞) , +). In this present work we will extend the results for C∗-sets near zero in dense subsemigroups of ((0 , ∞) , +).

First Page

717

Last Page

731

DOI

10.1007/s00233-019-10005-4

Publication Date

6-1-2020

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