Distributive Join – Semi Lattice


Shiuly Akhter ,A.S.A. Noor ,




ideals,join-semilattice,1-distributive lattice ,dual annihilator,


In this paper, we have studied some properties of ideals and filters of a join-semilattice. We have also introduced the notion of dual annihilator. We have discussed 1-distributive join-semilattice and given several characterizations of 1-distributive join-semilattices directed below. Finally we have included a generalization of prime separation theorem in terms of dual annihilators.


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M. Abdullah Ansary , Md. Ismail Hossain View Download