|
In this paper, we investigate some new properties
of modules over a formal triangular matrix ring $R$, we study the
quasi-injectivity and the projective dimension of modules; A
condition is found for a $R$-module to be a p.p. module; We
determine necessary and sufficient conditions for $R$ to be regular or Dedekind-finite. |
|
Keywords:formal triangular matrix ring,quasi-injective module, p.p. module, von Neumann regular ring, Dedekind-finite ring |
|