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Rank-one nonincreasing maps on symmetric matrices over small fields
Marko Orel, 2019, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: preserver problems, rank, finite fields
Objavljeno v RUP: 22.05.2019; Ogledov: 1670; Prenosov: 67
.pdf Celotno besedilo (408,23 KB)
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3.
Elementary abelian groups of rank 5 are DCI-groups
István Kovács, Yan-Quan Feng, 2018, objavljeni povzetek znanstvenega prispevka na konferenci (vabljeno predavanje)

Ključne besede: elementary abelian group, rank, DCI-group
Objavljeno v RUP: 07.02.2018; Ogledov: 2212; Prenosov: 78
URL Povezava na celotno besedilo

4.
Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2)
Marko Orel, Bojan Kuzma, 2009, izvirni znanstveni članek

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.
Ključne besede: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph
Objavljeno v RUP: 03.04.2017; Ogledov: 2414; Prenosov: 87
URL Povezava na celotno besedilo

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6.
Rank-permutable additive mappings
Anna A. Alieva, Aleksandr Èmilevič Guterman, Bojan Kuzma, 2006, izvirni znanstveni članek

Opis: 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.
Ključne besede: mathematics, linearna algebra, matrix algebra, rank, permutation, additive preservers
Objavljeno v RUP: 15.10.2013; Ogledov: 3305; Prenosov: 89
URL Povezava na celotno besedilo

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