The Journal of the Indian Mathematical Society

P. V. Venkanarasimhan ¹

Affiliations
1 Dept. of Mathematics, University of Madras, Madras-5, IN

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.

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P. V. Venkanarasimhan ¹

Affiliations
1 Department of Mathematics, University of Madras, Madras-5, IN

Abstract

Stone lattices have been studied by Gratzer and Schmidt [4] and by Frink [3]. In this note we extend some of the results in [3] and [4] to modular lattices.

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