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) |
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: | 2417 |
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Downloads: | 87 |
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