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Algebra (414) |
![]() 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 | ||||||
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CZU: 512.556 | ||||||
MSC 2010: 06B99,03G25,06A12,06B30. | ||||||
Pag. 165-179 | ||||||
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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 |
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Cuvinte-cheie Semi-ho op, top ologicalsemi-ho op, Hausdorspace, connectedspace |
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