| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 536 10 |
| Ultima descărcare din IBN: 2022-03-04 07:31 |
| Căutarea după subiecte similare conform CZU |
| 512.556 (13) |
| Algebră (414) |
 SM ISO690:2012MONA, Aaly Kologani, BORZOOEI, Rajab Ali, NADER, Kouhestani. On (semi)topological hoops. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 2(42), pp. 161-174. ISSN 1561-2848. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Quasigroups and Related Systems |
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| Volumul 27, Numărul 2(42) / 2019 / ISSN 1561-2848 | ||||||
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| CZU: 512.556 | ||||||
| Pag. 161-174 | ||||||
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Hoops are naturally ordered commutative residuated integral monoids, introduced by Bosbach in [6, 7], that BL-algebras are particular cases of hoops. Now, in this paper, we introduce the concept of (semi)topological hoop and we get some related results. Then we derive here conditions that imply a hoop to be a semitopological or a topological hoop and we study some properties of them. Specially, we show that in a hoop A, if (A;!; T ) is a semitopological hoop and f1g is an open set or A is bounded and satis es the double negation property, then (A; T ) is a topological hoop. Finally, we construct a discrete topology on quotient hoops, under suitable conditions. |
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