General preservers of quasi-commutativityDolinar, Gregor (Avtor) Kuzma, Bojan (Avtor) mathematicslinear algebrageneral preservermatrix algebraquasi-commutativityLet ▫$M_n$▫ be the algebra of all ▫$n \times n$▫ matrices over ▫$\mathbb{C}$▫. We say that ▫$A, B \in M_n$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ such that ▫$AB = \xi BA$▫. In the paper we classify bijective not necessarily linear maps ▫$\Phi \colon M_n \to M_n$▫ which preserve quasi-commutativity in both directions.20102016-04-08 16:46:54Delo ni kategorizirano7732sl