20.500.12556/RUP-7730
Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2)
Aditivne preslikave, ki ne povečujejo ranga ena na hermitskih matrikah nad obsegom GF(2[sup]2)
A complete classification of additive rank-one nonincreasing maps on hermitian matrices over Galois field ▫$GF(2^2)$▫ is obtained. This field is special and was not covered in a previous paper. As a consequence, some known applications, like the classification of additive rank-additivity preserving maps, are extended to arbitrary fields. An application concerning the preservers of hermitian varieties is also presented.
Klasificirane so vse aditivne preslikave, ki ne povečujejo ranga ena na hermitskih matrikah s koeficienti iz obsega ▫$GF(2^2)$▫. Ta obseg je poseben in ni bil obravnavan v predhodnem članku. Nekatere znane aplikacije, kot je klasifikacija vseh aditivnih preslikav, ki ohranjajo aditivnost ranga, so posplošene na poljuben komutativen obseg. Klasificirane so tudi vse aditivne preslikave, ki ohranjajo kardinalnost hermitskih varietet.
mathematics
linear algebra
additive preserver
hermitian matrices
rank
Galois field
weak homomorphism of a graph
matematika
linearna algebra
aditivni ohranjevalci
hermitske matrike
rang
Galoisevi obsegi
šibki homomorfizmi grafov
true
true
false
Angleški jezik
Slovenski jezik
Delo ni kategorizirano
2016-04-08 16:46:43
2017-04-03 08:12:32
2024-03-01 13:33:24
0000-00-00 00:00:00
2009
0
0
str. 482-499
Vol. 18
2009
0000-00-00
NiDoloceno
NiDoloceno
NiDoloceno
0000-00-00
0000-00-00
0000-00-00
1081-3810
512.643
13706329
15240793
http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol18_pp482-499.pdf
1
https://repozitorij.upr.si/Dokument.php?lang=slv&id=7730
Inštitut Andrej Marušič
0
0
0