Minimal matrix centralizers over the field ▫$\mathbb{Z}_2$▫
Dolžan, David ; Kokol-Bukovšek, Damjana
Matrika ▫$A$▫ nad obsegom je minimalna, če je za vsako matriko ▫$B$▫, ki komutira z ▫$A$▫, centralizator ▫$A$▫ podmnožica centralizatorja ▫$B$▫. V članku študiramo minimalne matrike nad obsegom z ...dvema elementoma. Karakteriziramo minimalne matrike z minimalnim polinomom oblike ▫$p(x)=m(x)^k$▫, kjer je ▫$m(x)$▫ nerazcepni polinom in k naravno število. Karakteriziramo tudi vse minimalne matrike s spektrom v ▫$\mathbb{Z}_2$▫.
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