2008•Mohu xitong yu shuxueRequires access

Z-algebraic Lattices and Z-algebraic Intersection Structures

LI Ji-bo

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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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What this paper is about

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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Available 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.

Key concepts: Algebraic closure, Mathematics, Algebraic number, Intersection (aeronautics), Algebraic cycle, Dimension of an algebraic variety, Algebraic element, Algebraic extension

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