Abstract: Let ▫$\mathbb{F}$▫ be a field. We classify multiplicative maps from ▫${\mathcal M}_n(\mathbb{F})$▫ to ▫${\mathcal M}_{n \choose k}(\mathbb{F})$▫ which annihilate a zero matrix and map rank-▫$k$▫ matrix into a rank-one matrix.Keywords: matrix semigroup, homomorphism, representationPublished in RUP: 31.12.2021; Views: 779; Downloads: 18 Full text (247,09 KB)
Keywords: automorphism group, circulant digraph, semigroupPublished in RUP: 08.05.2018; Views: 2804; Downloads: 153 Link to full text
