Zero product and zero Jordan product determined Munn algebras

Bo Yu, Kaijia Luo, Jiankui Li

Let $\mathfrak{M}(\mathbb{D},m,n,P)$ be the ring of all $m\times n$ matrices over a division ring $\mathbb{D}$, with the product given by $A\bullet B=APB$, where $P$ is a fi…