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Idempotent matrix of order n constructed geometric grid Finite Fields

Author: ZhangYing
Tutor: NanJiZuo
School: Northeast Normal University
Course: Basic mathematics
Keywords: Geometric grid Finite field The array decomposition shaped idempotent
CLC: O153.1
Type: Master's thesis
Year: 2003
Downloads: 35
Quote: 0
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Abstract


Grid is an important class of posets and its theory has been involved in many branches of mathematics , and in many areas ( such as the logical design of the computer and the program theory , etc. ) have a wide range of applications . Therefore , the structure of practical significance grid is a very meaningful work . In the country , Wan Zhexian linear space approach with his students and collaborators to discuss a typical group of a finite field generated by each track or subspace of the same dimension and rank of the geometric grid . However , the use of the matrix structure geometry grid few results . Wanted to take advantage of a special matrix to construct geometric grid . This article has been some of the results of the structural geometric grid , where the first part describes the basic concepts of the theory of geometric grid ; the second part utilize the finite field F_q idempotent array decomposition shaped construct a geometric grid , and calculated the geometric grid characteristic polynomial and the corresponding parameters.

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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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