On topological semi-hoops
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MONA, Aaly Kologani, NADER, Kouhestani, BORZOOEI, Rajab Ali. On topological semi-hoops. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 2(37), pp. 165-179. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 25, Numărul 2(37) / 2017 / ISSN 1561-2848

On topological semi-hoops

CZU: 512.556
MSC 2010: 06B99,03G25,06A12,06B30.

Pag. 165-179

Mona Aaly Kologani, Nader Kouhestani, Borzooei Rajab Ali
 
Shahid Beheshti University, Tehran
 
 
Disponibil în IBN: 16 decembrie 2018


Rezumat

We investigate topological structuers on a semi-hoop A and under conditions show that there exists a topology T on A such that (A; T ) is a topological semi-hoop. We prove that for each cardinal number α there exists a topological semi-hoop of order α Finally, the separation axioms on topological semi-hoops are study and show that for any in α nite cardinal number α there exists a Hausdor ff topological semi-hoop of order α with non-trivial topology

Cuvinte-cheie
Semi-ho op, top ologicalsemi-ho op, Hausdorspace, connectedspace

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