The Journal of the Indian Mathematical Society

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Ideals in Semi-Lattices


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1 Dept. of Mathematics, University of Madras, Madras-5, India
     

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A theory of ideals for distributive lattices has been developed by Balachandran [1]. In this paper we extend some of his results to semi-lattices. In extending these results we use some theorems of Frink [3] in the theory of pseudo-complements in semi-lattices. The relevant results of Frink are summarised in Section 1.
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  • Ideals in Semi-Lattices

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Authors

P. V. Venkanarasimhan
Dept. of Mathematics, University of Madras, Madras-5, India

Abstract


A theory of ideals for distributive lattices has been developed by Balachandran [1]. In this paper we extend some of his results to semi-lattices. In extending these results we use some theorems of Frink [3] in the theory of pseudo-complements in semi-lattices. The relevant results of Frink are summarised in Section 1.