Linear Operators Preserving Idempotent Matrices over Fields of Characteristic 2
Received:March 10, 1993  
Key Words: field   characteristic of field   idempotent matrix   linear operator.  
Fund Project:
Author NameAffiliation
Cao Chongguang Dept. of Math.
Heilongjiang Univ.
Harbin 150080 
Zhang Xian Dept. of Math.
Heilongjiang Univ.
Harbin 150080 
Liu guotong 吉林白城师专数学系 
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Abstract:
      Suppose F is a field of characteristic 2. We determine the structure of the semigroup H (F) of linear operators on the n×n matrices over F that are invertible and idempotence preserving. Two open problems are solved.
Citation:
DOI:10.3770/j.issn:1000-341X.1996.01.031
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