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Abstract
In this paper, I introduced Strongly Large Ideals and studied some properties. In this paper, I also studied Strongly Large Closed ideals and Strongly Large Complement Ideal. An Ideal is called an SL-Closed ideal if it has no proper Strongly Large Extension in L. I prove that direct summands of a lattice L are SL-Closed ideals. I give an example for, the intersection of SL-Closed ideals of a lattice L need not be SL-closed. I also show that , direct summands of SL-Complements are SL-Complements.
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References
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