【正文】
trix Spaces Preserving Idempotence. . Sci.,2004,21:124一127[12] . Automorphisms of The Poset of Upper Triangular Idempotent Matrices Linear and Multilinear Alg.,2005,23:27一44[13] . Maps on Matrix Algebras Preserving Idempotence Univ Sci.,2004,21:124一127[14] G. Dolinar. Maps on Matrix Algebras Preserving Idempotents. Linear Algebra ,371:287300.[15] X. Zhang. IdemPotencePreserving Maps Without The Linearity And SurjectivityAssumptions. Linear Algebra Appl. 2004,387:167182[16] 生玉秋. 矩陣空間的保持冪等關(guān)系的映射[D].[17] 孫清華,孫昊, 內(nèi)容、方法與技巧[M].華中科技大學(xué)出 .[18] 張禾瑞, [M]..[19] 丘維聲. 高等代數(shù)上、下[M]..[20] [M].[21] [D]. [22] [D].[24] 王忠英. 域上矩陣代數(shù)保持k_冪等關(guān)系的映射[D].2008英文摘要Maps on Matrix Spaces Preserving Idempotence overField with Three Elements105012007137 Shen Zhihai Advisor:Chen LanqingMajor in Pure and Applied Mathematics College of Mathematics and Computer ScienceAbstract The article firstly introduces the background of preserver problems on matrix spaces and the current research of the maps matrix spaces preserving idempotence. Secondly on the basis it depicts the mapping satisfy theorem of the maps on matrix spaces preserving idempotence over field which has three elements, and then gives the proof to two of the Theorem by myself.Key words Preserver Problems, Paul Idempotent, Map,Field with Three Elem