Z-algebraic Lattices and Z-algebraic Intersection Structures
LI Ji-bo
Abstract
LI Ji-bo
Abstract
In this paper,some relations between Z-algebraic lattices,Z-algebraic intersection structures and Z-algebraic closure operators are investigated.It is obtained that the relationship between Z-algebraic closure operators and topped Z-algebraic intersection structures on L is a bijective one and that every Z-algebraic lattice L is isomorphic to a topped Z-algebraic intersection structure on L.
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In this paper,some relations between Z-algebraic lattices,Z-algebraic intersection structures and Z-algebraic closure operators are investigated.It is obtained that the relationship between Z-algebraic closure operators and topped Z-algebraic intersection structures on L is a bijective one and that every Z-algebraic lattice L is isomorphic to a topped Z-algebraic intersection structure on L.
Key concepts: Algebraic closure, Mathematics, Algebraic number, Intersection (aeronautics), Algebraic cycle, Dimension of an algebraic variety, Algebraic element, Algebraic extension