3 papers
math.LO2026
Reply to Some Questions of Quotients when ultrafilters divide ultrafilters
Manoranjan Singha, Rohan Pradhan
For ultrafilters u,v on N, the operation u/v is introduced and formalised which acts as quotient-like structures when v strongly divides u.Central to our study is the characterizat…
math.GN2025
Exhibition of piecewise syndetic and broken IP sets near idempotent
Ujjal Kumar Hom, Manoranjan Singha
Characterizations of ultrafilters belong to the smallest ideal of Stone-Äech compactification of a discrete semigroup are exhibited using syndetic sets, strongly central sets and…
math.DS2025
Force recurrence near zero
Manoranjan Singha, Ujjal Kumar Hom
Considering any dense subsemigroup of the additive semigroup of positive real numbers and a filter associated with it as the domain of thought, various concepts of sets like sets t…