Abstract:
In this thesis we have shown that,
1. The (m + 1)-Leibniz algebras are expressible in the form of m-magma.
2. The homomorphic pre-image of a fuzzy ideal of a m-Leibniz algebra is a fuzzy
ideal.
3. If S a fuzzy subset of a m-Leibniz algebra A then,
(i) S is either a fuzzy subalgebra or a fuzzy ideal of A,
(ii) Every nonempty t-level subset U(s,t) is also a fuzzy subalgebra or ideal of
A.
4. Homomorphic image of the fuzzy ideal of a m-Leibniz algebra having the supre
mum property is also a fuzzy Leibniz ideal.
5. If A is a m-Leibniz algebra then the maximal normal fuzzy subalgebra of A is
a Boolean algebra.