On Semi Prime Ideals in Lattices


R. M. Hafizur Rahman,M. Ayub Ali ,A. S. A. Noor ,




semi-prime ideals,0-distributive lattices,annihilator ideals,


Recently Yehuda Rav has given the concept of Semi-prime ideals in a general lattice by generalizing the notion of 0-distributive lattices. In this paper we study several properties of these ideals and include some of their characterizations. We give some results regarding maximal filters and include a number of Separation properties in a general lattice with respect to the annihilator ideals containing a semi-prime ideal.


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R. M. Hafizur Rahman, M. Ayub Ali ,A. S. A. Noor View Download