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1.
Rank 3 grupe in krepko regularni grafi : zaključna projektna naloga
Marija Jurkovič, 2011, undergraduate thesis

Keywords: rank 3 grupa, orbita, krepko regularni grafi
Published in RUP: 07.09.2022; Views: 634; Downloads: 7
URL Link to full text

2.
Rank-one nonincreasing maps on symmetric matrices over small fields
Marko Orel, 2019, published scientific conference contribution abstract

Keywords: preserver problems, rank, finite fields
Published in RUP: 22.05.2019; Views: 1673; Downloads: 67
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3.
Elementary abelian groups of rank 5 are DCI-groups
István Kovács, Yan-Quan Feng, 2018, published scientific conference contribution abstract (invited lecture)

Keywords: elementary abelian group, rank, DCI-group
Published in RUP: 07.02.2018; Views: 2226; Downloads: 78
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4.
Additive rank-one 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 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.
Keywords: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph
Published in RUP: 03.04.2017; Views: 2417; Downloads: 87
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5.
6.
Rank-permutable additive mappings
Anna A. Alieva, Aleksandr Èmilevič Guterman, Bojan Kuzma, 2006, original scientific article

Abstract: Let ▫$\sigma$▫ be a fixed non-identical 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.
Keywords: mathematics, linearna algebra, matrix algebra, rank, permutation, additive preservers
Published in RUP: 15.10.2013; Views: 3310; Downloads: 89
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