Some types of interior filters in quasi-ordered semigroups
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ROMANO, Daniel Abraham. Some types of interior filters in quasi-ordered semigroups. In: Quasigroups and Related Systems, 2023, vol. 31, nr. 1, pp. 135-152. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v31.10
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Quasigroups and Related Systems
Volumul 31, Numărul 1 / 2023 / ISSN 1561-2848

Some types of interior filters in quasi-ordered semigroups

DOI:https://doi.org/10.56415/qrs.v31.10
CZU: 512.536.5
MSC 2010: 06F05, 20M12.

Pag. 135-152

Romano Daniel Abraham
 
International Mathematical Virtual Institute
 
 
Disponibil în IBN: 13 august 2023


Rezumat

In this paper, we introduce the notions of interior filters, quasi-interior filters and weak-interior filters in a quasi-ordered semigroup. Additionally, we study the properties of these types of filters of quasi-ordered semigroups and their interrelationships.

Cuvinte-cheie
semigroup, quasi-ordered semigroup, (left, right) filter, interior filter, (left, right) weak-interior filter, (left, right) quasi-interior filter