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 SM ISO690:2012AMERI, Reza, BAKHSHI, Mahmood, NEMATOLLAHZADEH, SeyyedA., BORZOOEI, Rajab Ali. Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras
. In: Quasigroups and Related Systems, 2007, vol. 15, nr. 2(18), pp. 219-232. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Volumul 15, Numărul 2(18) / 2007 / ISSN 1561-2848 | ||||||
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| Pag. 219-232 | ||||||
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We de ne the concept of fuzzy (strong) congruence relations on hyper-
groupoids and hyper BCK -algebras and construct a quotient hyperstruc-
ture on a hypergroupoid. In particular, we prove that if H is a (semi)
hypergroup and R is a fuzzy (strong) congruence relation on H , then H/R
is a (semi) group. Finally, by considering the notion of a hyper BCK -
algebra, we construct a quotient hyper BCK -algebra.
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| Cuvinte-cheie Fuzzy (strong) congruence, Hypergroup, hyper BCK-algebra |
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