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Weakly Smooth Posets and Z-weakly Continuous Posets

Author: YuTing
Tutor: XuXiaoQuan
School: Jiangxi Normal University
Course: Applied Mathematics
Keywords: Exact posets Weak domain Base Projection operator On the topology Weakly Smooth posets Z- weak continuous posets Z- weak algebraic poset
CLC: O153.1
Type: Master's thesis
Year: 2008
Downloads: 7
Quote: 0
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Abstract


The first part of this paper the minimum $ exact partial ordered set ( the weak domain) of the product of posets (weak domain ) , the exact exact in domain and the projection operator in Baoding , and under accompanied by the projection operator or has under accompanied and Baoding and full mapping under like still the exact domain . The paper also discusses the exact base poset . Introduced in the second part of this article the lower below relations , and discuss its basic nature . Weak smooth poset prove semilattice if weak smooth and continuous , with fully allocated equivalence , weak smooth grid with the F- distribution grid equivalent , complete semilattice to a weak smooth complete semilattice single insurance on topological closed set under accompanied by the weak smooth . The sequence proved on topological order isomorphism complete semilattice isomorphism , on the topology of closed sets complete semi- lattice ( a complete lattice ) is isomorphic to the weak under stable (the stable ) and strong algebraic smooth complete lattice . The third part of this paper describes a weak Z- continuous posets , and discuss some basic properties . Secondly, the Z- the weak continuous posets mapping nature . Weak Z- continuous posets accompanied by Paul Z- and the projection operator , idempotent and Paul Z- full on like throwing along with weak Z- continuous posets . The paper also discusses the Z- weak the continuous posets base and Z- weak algebraic posets .

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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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