Semi Prime Ideal in a-Distributive Lattice
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Keywords:
Prime Ideal, Semi Prime Ideal, Distributive LatticeAbstract
In this paper we define semi prime ideal in a a-distributive lattice L. For a non empty subset B of a a-distributive lattice L, we observe if L is a a-distributive lattice then annihilator of B as $B^{a} = \{x \in L / x \wedge b \le a\ \ \forall\ \ b \in B \}$ is a semi prime ideal for any non empty subset B of L and observe some properties.
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