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Commuting graphs and extremal centralizers
Gregor 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
.pdf Full text (228,78 KB)

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Dynamics of enterprises in the Slovenian textile industry
Barbara Dolinar, Štefan Bojnec, 2019, original scientific article

Keywords: dinamika podjetij, vstopanje podjetij, izstopanje podjetij, tekstilna industrija, Slovenija
Published in RUP: 20.12.2021; Views: 910; Downloads: 5
.pdf Full text (121,88 KB)

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