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On Some Questions of Quasi-semicontinuous Lattices and Some Category Properties of Strongly Algebraic Lattices

Author: ZengLiHua
Tutor: XuXiaoQuan
School: Jiangxi Normal University
Course: Applied Mathematics
Keywords: Intends semi- continuous grid Intends semi- algebraic grid Strong algebraic lattice Strong arithmetic grid Topological representation
CLC: O153.1
Type: Master's thesis
Year: 2008
Downloads: 14
Quote: 0
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Abstract


This paper extends the framework of semi-continuous lattice theory , introduced intends semi- continuous grid and the proposed semi- algebraic lattice concept , and discuss some of their basic properties ; given the strong algebraic lattice and strong arithmetic grid topology representation theorem , that the strong algebraic grid object generalized order homomorphism for the the morphism category and is object - open set composed by the ultra- tight Sober space , continuous and inverse Paul ultra- compact open set mapping equivalent dual morphism areas sex . Strong arithmetic grid object generalized order homomorphism morphism areas to by the ultra- compact open set consisting of the base and it is about the finite intersection closed Sober space for object , continuous and inverse Paul super compact open set mapping the morphisms areas dual equivalence ; final proof of the Z- algebraic poset areas the strong algebraic lattice areas even equivalent to a full sub areas .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Abstract algebra ( Algebra ) > Collection of partial order and lattice theory
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