Opis: 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.Ključne besede: matrix semigroup, homomorphism, representationObjavljeno v RUP: 31.12.2021; Ogledov: 778; Prenosov: 18 Celotno besedilo (247,09 KB)