| Title: | Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2) |
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| Authors: | ID Orel, Marko (Author)
ID Kuzma, Bojan (Author) |
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| Files: |  http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol18_pp482-499.pdf
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| Abstract: | 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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| Keywords: | mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph |
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| Year of publishing: | 2009 |
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| Number of pages: | str. 482-499 |
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| Numbering: | Vol. 18 |
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| PID: | 20.500.12556/RUP-7730  |
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| ISSN: | 1081-3810 |
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| UDC: | 512.643 |
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| COBISS.SI-ID: | 15240793 |
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| Publication date in RUP: | 03.04.2017 |
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| Views: | 4323 |
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| Downloads: | 119 |
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| Metadata: |    |
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