A note on homomorphisms of matrix semigroupOmladič, Matjaž (Avtor) Kuzma, Bojan (Avtor) matrix semigrouphomomorphismrepresentationLet ▫$\mathbb{F}$▫ 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.20132021-12-31 00:13:51Neznano17608sl