Group lattices over division rings A tribute to the renowned Indian Mathematician K.S.S.Nambooripad
P.G. Romeo, Alanka Thomas
TL;DR
This paper revisits K.S.S. Nambooripad's construction of G-lattices, exploring group actions on lattice structures and their automorphisms, highlighting their mathematical significance and historical context.
Contribution
The paper provides a detailed analysis and reinterpretation of Nambooripad's original construction of G-lattices, emphasizing its importance in algebraic structures.
Findings
Revisited Nambooripad's G-lattice construction
Clarified the role of group actions on lattices
Highlighted the significance of G-lattices in algebra
Abstract
Group action on an algebraic structure gives a representation of the group by automorphisms on the structure. An action of a group on a lattice gives a group lattice. K.S.S. Nambooripad introduced G-lattice in 1990. In this paper revisits Nambooripad construction of G-lattice.
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Taxonomy
TopicsAdvanced Algebra and Logic · Rings, Modules, and Algebras · Coding theory and cryptography