Communications of the
Korean Mathematical Society CKMS

In this paper, we continue to explore an idea presented in \cite{bhatt2020} and introduce a new class of matrix rings called \emph{staircase} matrix rings which has applications in noncommutative ring theory. We show that these rings preserve the notions of reduced, symmetric, reversible, IFP, reflexive, abelian rings, etc.

Keywords: Staircase matrix ring, symmetric ring, reversible ring, IFP ring, reflexive ring

MSC numbers: 16S50, 16U80