Naslov: | Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2) |
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Avtorji: | ID Orel, Marko (Avtor) ID Kuzma, Bojan (Avtor) |
Datoteke: | http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol18_pp482-499.pdf
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Jezik: | Angleški jezik |
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Vrsta gradiva: | Delo ni kategorizirano |
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Tipologija: | 1.01 - Izvirni znanstveni članek |
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Organizacija: | IAM - Inštitut Andrej Marušič
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Opis: | 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. |
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Ključne besede: | mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph |
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Leto izida: | 2009 |
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Št. strani: | str. 482-499 |
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Številčenje: | Vol. 18 |
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PID: | 20.500.12556/RUP-7730 |
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ISSN: | 1081-3810 |
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UDK: | 512.643 |
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COBISS.SI-ID: | 15240793 |
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Datum objave v RUP: | 02.04.2017 |
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Število ogledov: | 3001 |
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Število prenosov: | 93 |
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