Additive Surjections Preserving Rank One and Applications

Verfasser / Beitragende:
[Chong-Guang Cao, Xian Zhang]
Ort, Verlag, Jahr:
2004
Enthalten in:
Georgian Mathematical Journal, 11/2(2004-06), 209-217
Format:
Artikel (online)
ID: 378921002
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024 7 0 |a 10.1515/GMJ.2004.209  |2 doi 
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245 0 0 |a Additive Surjections Preserving Rank One and Applications  |h [Elektronische Daten]  |c [Chong-Guang Cao, Xian Zhang] 
520 3 |a We characterize additive rank-one preserving surjections on the full matrix algebra over any field. As applications, invertibility preservers, determinant preservers and characteristic polynomial preservers are characterized. 
540 |a © Heldermann Verlag 
690 7 |a Field  |2 nationallicence 
690 7 |a full matrix algebra  |2 nationallicence 
690 7 |a rank one preserver  |2 nationallicence 
690 7 |a additive surjection  |2 nationallicence 
700 1 |a Cao  |D Chong-Guang  |u Department of Mathematics, Heilongjiang University, Harbin 150080, P. R. China. E-mail: caochongguang@163.com  |4 aut 
700 1 |a Zhang  |D Xian  |u Department of Mathematics, Heilongjiang University, Harbin 150080, P. R. China. E-mail: zhangx663@sohu.com  |4 aut 
773 0 |t Georgian Mathematical Journal  |d Walter de Gruyter GmbH & Co. KG  |g 11/2(2004-06), 209-217  |x 1072-947X  |q 11:2<209  |1 2004  |2 11  |o GMJ 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Cao  |D Chong-Guang  |u Department of Mathematics, Heilongjiang University, Harbin 150080, P. R. China. E-mail: caochongguang@163.com  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zhang  |D Xian  |u Department of Mathematics, Heilongjiang University, Harbin 150080, P. R. China. E-mail: zhangx663@sohu.com  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Georgian Mathematical Journal  |d Walter de Gruyter GmbH & Co. KG  |g 11/2(2004-06), 209-217  |x 1072-947X  |q 11:2<209  |1 2004  |2 11  |o GMJ 
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