J4 ›› 2010, Vol. 45 ›› Issue (10): 4-8.
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SHI Xue-ying, CHEN Xiao-ping
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Let R be a principal ideal domain and the characteristic of R be not 3. Assume that 2 is a unit in R. Let n and m be positive integers with n≤m. The linear maps preserving inverses of matrices from n×n symmetric matrix modules Sn(R) onto m×m matrix modules Mm(R) over R are described.
Key words: principal ideal domain; inverse of matrix; linear map
SHI Xue-ying, CHEN Xiao-ping. Linear maps preserving inverses of matrices on symmetric matrix modules over principal ideal domains[J].J4, 2010, 45(10): 4-8.
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