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4. Commuting graphs and extremal centralizersGregor Dolinar, Aleksandr Èmilevič Guterman, Bojan Kuzma, Polona Oblak, 2014, original scientific article Abstract: We determine the conditions for matrix centralizers which can guarantee the connectedness of the commuting graph for the full matrix algebra ▫$M_n(\mathbb{F})$▫ over an arbitrary field ▫$\mathbb{F}$▫. It is known that if ▫$\mathbb{F}$▫ is an algebraically closed field and ▫$n \ge 3$▫, then the diameter of the commuting graph of ▫$M_n(\mathbb{F})$▫ is always equal to four. We construct a concrete example showing that if ▫$\mathbb{F}$▫ is not algebraically closed, then the commuting graph of ▫$M_n(\mathbb{F})$▫ can be connected with the diameter at least five. Keywords: commuting graph, matrix ring, centralizer Published in RUP: 31.12.2021; Views: 804; Downloads: 23 Full text (228,78 KB) |
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8. Razvijanje ustvarjalnosti, inovativnosti in podjetnosti v osnovni šoli : magistrska nalogaMojca Dolinar, 2020, master's thesis Keywords: ustvarjalnost, inovativnost, podjetnost, inovacijska kultura in klima, fizično učno okolje, inovacijske osebnostne lastnosti, invencijsko-inovacijski proces, inovativno poučevanje Published in RUP: 20.11.2020; Views: 1462; Downloads: 56 Full text (1,69 MB) |
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10. Evolution and systematics of polyploid Nigritella (Orchidaceae)Mikael Hedrén, Richard Lorenz, Herwig Teppner, Branko Dolinar, Cesario Giotta, Norbert Griebl, Sven Hansson, Ulrich Heidtke, Erich Klein, Giorgio Perazza, David Ståhlberg, Boštjan Surina, 2018, original scientific article Keywords: Nigritella, Vanilla Orchids, Orchidaceae, phytogeography, populations genetics, Dinaric southeastern Calcareous Alps, plastid DNAAADolomites, microsatellites, plastid DNA Published in RUP: 12.03.2018; Views: 3153; Downloads: 235 Link to full text |