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Kvadratne forme nad končnimi obsegi : zaključna naloga
Borut Umer, 2014, undergraduate thesis

Keywords: končni obseg, polja, sled elementa, kvadratna forma
Published in RUP: 10.07.2015; Views: 2552; Downloads: 15
URL Link to full text

24.
Adjacency preservers on symmetric matrices over a finite field
Marko Orel, 2011, published scientific conference contribution abstract

Keywords: matematika, linearna algebra, ohranjevalci sosednosti, simetrične matrike
Published in RUP: 15.10.2013; Views: 3365; Downloads: 71
URL Link to full text

25.
Additive mappings on symmetric matrices
Bojan Kuzma, Marko Orel, 2006, original scientific article

Abstract: Klasificirane so aditivne preslikave, ki ne povečujejo minimalnega ranga na simetričnih matrikah s koeficienti iz komutativnega obsega karakteristike dve ali tri.
Keywords: matematika, linearna algebra, aditivni ohranjevalci, simetrična matrika, rang
Published in RUP: 15.10.2013; Views: 3074; Downloads: 82
URL Link to full text

26.
Adjacency preservers, symmetric matrices, and cores
Marko Orel, 2012, original scientific article

Abstract: It is shown that the graph ▫$\Gamma_n$▫ that has the set of all ▫$n \times n$▫ symmetric matrices over a finite field as the vertex set, with two matrices being adjacent if and only if the rank of their difference equals one, is a core if ▫$n \ge 3$▫. Eigenvalues of the graph ▫$\Gamma_n$▫ are calculated as well.
Keywords: adjacency preserver, symmetric matrix, finite field, eigenvalue of a graph, coloring, quadratic form
Published in RUP: 15.10.2013; Views: 3162; Downloads: 141
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