Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras

Ameri Reza; Bakhshi Mahmood; NematollahZadeh SeyyedA.; Borzooei Rajab Ali

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AMERI, 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

Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras

Pag. 219-232

Ameri Reza, Bakhshi Mahmood, NematollahZadeh SeyyedA., Borzooei Rajab Ali

Disponibil în IBN: 15 decembrie 2013

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We dene 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.

Cuvinte-cheie
Fuzzy (strong) congruence, Hypergroup, hyper BCK-algebra

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