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Ideals in AG-band and AG*-groupoid
Authors: Q. Mushtaq, M. Khan
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Abstract
We have shown that an ideal I of an AG-band is prime iff ideal (S) is totally ordered; it is prime iff it is strongly irreducible. The set of ideals of S form a semilattice structure. We have proved that if a belongs to the centre of S, then S is zero-simple if and only if (Sa)S = S, for every a in S\{0}. Ideal structure in an AG_-groupoid S has also been investigated. It has been shown that if I is a minimal right ideal of S then Ia is a minimal left ideal of S, for all a in S. It has been shown also that every ideal of an AG_-groupoid S is prime if and only if it is idempotent and ideal (S) is totally ordered.Qaiser Mushtaq,
Department of Mathematics,
Quaid-i-Azam University,
Islamabad,
Pakistan,
E-mail:
Department of Mathematics,
Quaid-i-Azam University,
Islamabad,
Pakistan,
E-mail:
Fulltext
– 0.19 Mb
Contents
- Anti fuzzy Lie ideals of Lie algebras
- Actions of a subgroup of the modular group on an imaginary quadratic field
- On primal ideals over semigroups
- Finite hexagonal quasigroups
- On n-ary semigroups with adjoint neutral element
- Left regular and intra-regular ordered semigroups in terms of fuzzy subsets
- On the prime graph of L2(q), where q=p^alpha<100
- The application of DES, IDEA and AES in strong encryption
- A graphical technique to obtain homomorphic images of Delta(2,3,11)
- Ideals in AG-band and AG*-groupoid
- Skew endomorphisms on n-ary groups
