1. Rankpermutable additive mappingsAnna A. Alieva, Aleksandr Èmilevič Guterman, Bojan Kuzma, 2006, original scientific article Abstract: Let ▫$\sigma$▫ be a fixed nonidentical permutation on ▫$k$▫ elements. Additive bijections ▫$T$▫ on the matrix algebra ▫$M_n(\mathbb{F})$▫ over a field ▫$\mathbb{F}$▫ of characteristic zero, with the property that ▫$\rm{rk} (A_1...A_k) = \rm{rk} (A_{\sigma(1)}...A_{\sigma(k)})$▫ implies the same condition on the ▫$T$▫ images, are characterized. It is also shown that the surjectivity assumption can be relaxed, if this property is preserved in both directions. Found in: ključnih besedah Summary of found: Zadetek v naslovu Keywords: mathematics, linearna algebra, matrix algebra, rank, permutation, additive preservers Published: 15.10.2013; Views: 1371; Downloads: 47 Full text (0,00 KB) 
2. Zhang, Xian; Sze, NungSing: Additive rankone preservers between spaces of rectangular matrices. (English).  [J] Linear Multilinear Algebra 53, No. 6, 417425 (2005). [ISSN 03081087; ISSN 15635139]Bojan Kuzma, 2006, review, book review, critique Found in: ključnih besedah Summary of found: Zadetek v naslovu Keywords: matematika, linearna algebra, prostor matrik, rank 1, aditivni ohranjevalec Published: 15.10.2013; Views: 1410; Downloads: 17 Full text (0,00 KB) 
3. Additive rankone nonincreasing maps on Hermitian matrices over the field GF(2[sup]2)Marko Orel, Bojan Kuzma, 2009, original scientific article Abstract: A complete classification of additive rankone 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 rankadditivity preserving maps, are extended to arbitrary fields. An application concerning the preservers of hermitian varieties is also presented. Found in: ključnih besedah Summary of found: Zadetek v naslovu Keywords: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph Published: 03.04.2017; Views: 778; Downloads: 27 Full text (0,00 KB) This document has more files! More...

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