Quasi-Boundedness of s-Paratopological Groups

Rafaqat Noreen

doi:https://doi.org/10.14445/22315373/IJMTT-V58P515

International Journal of Mathematics Trends and Technology

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Volume 58 | Number 2 | Year 2018 | Article Id. IJMTT-V58P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V58P515

Quasi-Boundedness of s-Paratopological Groups

Rafaqat Noreen

Abstract

In this paper, our focus is to define and study the boundednessfor s-paratopological groups. Premeager property for s-paratopological groups is discussed. It is proved that every open subgroup of a quasi-bounded, premeager s-paratopological group is premeager. For bounded homomorphisms on s-paratopological group, new notions 𝑛𝑏𝑞 -quasi bounded and 𝑏𝑞 𝑏𝑞 -quasi bounded homomorphisms are introduced and discussed.

Keywords

s- paratopological group, quasi-bounded s- paratopological group

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Citation :

Rafaqat Noreen, "Quasi-Boundedness of s-Paratopological Groups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 58, no. 2, pp. 107-111, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V58P515