On duality theory in vector spaces without topology via algebraic core

Puntos clave

• Duality theory reveals fundamental relationships within vector spaces, enhancing understanding of their structures.
• Key findings indicate the effectiveness of using algebraic core principles for exploring vector space properties.
• Analysis demonstrates that linear mappings and algebraic structures are central to understanding dualities in these spaces.
• Implications suggest potential advancements in mathematical theory through deeper exploration of algebraic frameworks.