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A note on an Abel-Grassmann 3-band
Authors: Q. Musthaq and M. Khan
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Abstract
In this paper we have investigated AG-3-band and ideal theory on it. An AG-3-band S has associative powers and is fully idempotent. A subset of an AG-3-band is a left ideal if and only it is right and every ideal of S is prime if and only if the set of all ideals of S is totally ordered under inclusion. An ideal of S is prime if and only if it is strongly irreducible. The set of ideals of S is a semilattice.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
