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Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras pp.
Authors: R. Ameri, M. Bakhshi, S. A. N. Zadeh, R. Borzooei
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Abstract
We define the concept of fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras and construct a quotient hyperstructure 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.Fulltext
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Contents
- On central loops and the central square property
- Intuitionistic (S,T)-fuzzy Lie ideals of Lie algebras
- Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras pp.
- Subdirectly irreducible sloops and SQS-skeins
- S-systems of n-ary quasigroups
- Double Ward quasigroups
- Short identities implying a quasigroup is a loop or group
- Biembeddings of Latin squares of side 8
- Fuzzy ideals in ordered semigroups
- A note on Belousov quasigroups
- A note on an Abel-Grassmann 3-band
- Decompositions of an AG*-groupoids
- On finite quasigroups whose subquasigroup lattices are distributive
