Author(s) :

V.Poongavi.

Volume/Issue :

Abstract :

This paper explores lattices in algebra, highlighting their structure and applications across mathematics and computer science. Lattices, which originate from order theory, are partially ordered sets where each pair of elements has a unique least upper bound and greatest lower bound. Key types include distributive lattices, significant in Boolean algebra due to their distributive properties, and modular lattices, which are useful in vector spaces, projective geometry, and finite group classification. Additionally, complete, bounded, and complemented lattices address specific mathematical challenges, making lattices a critical topic in modern research.

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