Reduction of Quasi-Lattices to Lattices

2019/05/13 by C. Ganesa Moorthy, Moorthy, C. Ganesa, Sg. Karpagavalli +2
Computer Science · Mathematics · #Advanced Algebra and Logic #math.CO #msc:18B35

paper · pdf · doi:10.48550/arxiv.1905.04834

8 pages, 1 figure https://shodhganga.inflibnet.ac.in/handle/10603/106437

arxiv created 2019/05/13 · arxiv updated 2019/05/14

Abstract

Quasi-lattices are introduced in terms of 'join' and 'meet' operations. It is observed that quasi-lattices become lattices when these operations are associative and when these operations satisfy 'modularity' conditions. A fundamental theorem of homomorphism proved in this article states that a quasi-lattice can be mapped onto a lattice when some conditions are satisfied.

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