TY  - BOOK
AU  - Semrl,Peter
TI  - Optimal version of Hua's fundamental theorem of geometry of rectangular matrices
T2  - Memoirs of the American Mathematical Society
SN  - 9780821898451 (pbk. : acidfree paper)
U1  - 510 23
PY  - 2014///
CY  - Providence :   
PB  - American Mathematical Society, 
KW  - Matrices
KW  - Algebraic Geometry
N1  - "November 2014, volume 232, number 1089 (first of 6 numbers)"; Includes bibliographical references (pages 73-74); 1. Introduction --
2. Notation and basic definitions --
3. Examples --
4. Statement of main results --
5. Proofs --
 5.1 Preliminary results --
 5.2 Splitting the proof of main results into subcases --
 5.3 Square case --
 5.4 Degenerate case --
 5.5 Non-square case --
 5.6 Proofs of corollaries--
Acknowledgments--
Bibliography
N2  - Hua's fundamental theorem of geometry of matrices describes the general form of bijective maps on the space of all m??????n matrices over a division ring D which preserve adjacency in both directions. Motivated by several applications the author studies a long standing open problem of possible improvements.
ER  -