Lupa

Search the repository Help

A- | A+ | Print
Query: search in
search in
search in
search in
* old and bolonia study programme

Options:
  Reset


1 - 5 / 5
First pagePrevious page1Next pageLast page
1.
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.
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: 1331; Downloads: 44
URL Full text (0,00 KB)

2.
3.
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.
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: 735; Downloads: 26
URL Full text (0,00 KB)
This document has more files! More...

4.
Elementary abelian groups of rank 5 are DCI-groups
István Kovács, Yan-Quan Feng, 2018, published scientific conference contribution abstract (invited lecture)

Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: elementary abelian group, rank, DCI-group
Published: 07.02.2018; Views: 578; Downloads: 39
URL Full text (0,00 KB)

5.
Rank-one nonincreasing maps on symmetric matrices over small fields
Marko Orel, 2019, published scientific conference contribution abstract

Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: preserver problems, rank, finite fields
Published: 22.05.2019; Views: 98; Downloads: 8
.pdf Full text (408,23 KB)
This document has more files! More...

Search done in 0 sec.
Back to top
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica