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On finite quasigroups whose subquasigroup lattices are distributive
Authors: K. Pióro
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Abstract
We prove that if the subquasigroup lattice of a finite quasigroup Q is distributive, then Q is cyclic (i.e., Q is generated by one element) and also, each of its subquasigroups is also cyclic. Finally, we give examples which show that the inverse implication does not hold.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
